Matt. 27:66  So they [the Jewish leaders] went, and made the sepulchre sure, sealing the stone, and setting a watch.
 28:1 ¶ In the end of the sabbath, as it began to dawn toward the first day of the week, came Mary Magdalene and the other Mary to see the sepulchre.

 3796 opse (op-seh')
 from the same as 3694 (through the idea of backwardness); (adverbially) late in the day;; v
 AV-in the end 1, even 1, at even 1; 3

 1) after a long time, long after, late
 1a) late in the day, i.e. at evening
 1b) the sabbath having just passed, after the sabbath
 1b1) at the early dawn of the first day of the week

Instead of "evening" a better choice would be "night after" or "after" which is the reading of my Interlinear (although either after or evening is correct for the word itself).
The bigger problem is that your translation splits the Greek sentence in two. It's true that the original text didn't mark sentence separations but it does use sentences, and without a verb you have no sentence. There is no verb in the first part of the original text which you show as a sentence. The words "Now it is" just are not drawn from the Greek text at all. One would need a very good reason for adding them.
Now let's look at the Greek meaning for the word you have as "sabbaths." It is clearly applied to either "sabbath" or "week." (The more common Greek word for Sabbath is 

 4521 sabbaton (sab'-bat-on)
 of Hebrew origin 07676 tbf; TDNT-7:1,989; n n
 AV-sabbath day 37, sabbath 22, week 9; 68

 1) the seventh day of each week which was a sacred festival on which the Israelites were required to abstain from all work
   1a) the institution of the sabbath, the law for keeping holy every seventh day of the week
   1b) a single sabbath, sabbath day
 2) seven days, a week.

    I can see how "lighting up of one sabbath" or "dawn of one sabbath" could also be correct apart from the context.
Let's say that your translation is somehow an optional reading. We need to decide whether it or the traditional way of translating the passage is correct. For that, we turn to see how Luke describes the situation:

Luke 23:55  "And the women also, which came with him from Galilee, followed after, and beheld the sepulchre, and how his body was laid.
 56  And they returned, and prepared spices and ointments; and rested the sabbath day according to the commandment.
 1 ¶ Now upon the first day of the week, very early in the morning, they came unto the sepulchre, bringing the spices which they had prepared, and certain others with them.

    Luke, who wrote well after the time of the resurrection, clarifies that he and those closest to Christ considered the day before Sunday to be the Sabbath. Your interpretation still has a few problems.
Luke would have been wrong in referring to the "first day of the week." if it were a new Sabbath. Only the 6th day (preparation day) and the seventh (Sabbath) had names. The other days were simply numbered.
Days in the Bible begin at sunset and continue to the next sunset (le2332). In other words, the dawn or "lighting up" time when the women came, was in the middle of the first day of the week. With this starting point, it is difficult to imagine that Matthew's words could be symbolic of a new kind of Sabbath. Sunday now starts at midnight, so it doesn't fit that way either.
Look at the phrase in your translation: "At the lighting up into one of the Sabbaths. . . ." If Matthew had been announcing a grand change in the day which since creation had been the day of rest, he would have said "the first new sabbath." To say, "one of the sabbaths" implies that there had been many before. Or if the first of a series, the series would have been already announced, likely in the preceding context. Actually, only the seventh-day Sabbath had been discussed.

Next, consider the testimony of the rest of the Bible
Paul ". . . reasoned in the synagogue every sabbath, and persuaded the Jews and the Greeks" (Acts 18:4). Without Paul's explanation of a new Sabbath, the Jews (to whom the Synagogue belonged), would have known the word Sabbath to mean the seventh day not the first which was only for pagan worship at that time. The Greeks were coming out of paganism and would have recognized the term "sabbath" as meaning the traditional Jewish day of worship. The first-day worship they had known happened on the day of the sun — Sunday.
    The very fact that Paul and writers of other other epistles didn't urge good Sabbath keeping is because it was not an issue at the time. The problem for Jews, who made up a good portion of the early church, was believing that salvation came from the law. It was not ignoring the law, especially the first four commandments about our duty to God. Any non-Jew considering worship of the creator God instead of the pagan gods had only one choice, the day explained in the writings about the Creator. These were the Jewish Scriptures — our Old Testament. Jesus and the writings of the apostles had held it as authoritative.
John the Revelator was in the spirit on the Lord's day (Rev. 1:10). Not until at least 75 years after John would have been dead is any known mention made which would have linked the term, Lord's day, with Sunday. Did the Lord John knew so well ever claim a day as His own? Indeed He did. See Mark 2:27, 28 mr0227. He said He was "Lord of the Sabbath." This meant only the seventh day of the week in that context. In fact, the Sabbath commandment says, ". . . for the seventh day is the Sabbath of the Lord thy God." (Ex. 20), and that context takes you back to the end of creation week. For John, the Lord had claimed only one day in the week for a special relationship with Him.
   You could argue that John was talking about the "day of the Lord" but where the term is used in Joel and Malachi "day" means a time in the future, not a day of the week. It is the time of the final wrath of God — the "time of trouble," da1201. The rest of the book of Revelation does include this wrath, but also much more which leads up to it, which you can see by looking at the seven churches in chapters 2 and 3, and realizing that messages to them were in the whole of the book of Revelation (1:11, 4).
   In the text in Mark, Jesus also said that the Sabbath was made for man. This meant "humanity" not just for the Jews. There were no Jews at the time of Creation when the day was "made." (Gen. 2:1-3 ge0201). It is truly a blessing, a time God has promised to be close to us as we "rest" in the fact that He does the work for our salvation just like He did the work of creation in the first place!
    So could the day have been changed at the resurrection? No. This reason for Sunday worship was an afterthought. Christians began worshipping on the pagans' day of the sun god many years later when the Roman government began persecuting the Jews who were stirring up rebellion. The Christians didn't want to be associated with them so tried to act more pagan, gradually giving more and more importance to Sunday. It's a sad story. Soon the church had incorporated paganism into its doctrine for political reasons and it designated Sunday as the day of worship re1316f.
    Please look at the my other discussions of the Sabbath issue. Link.

I pray that the eternal God of heaven will give you courage and wisdom. 

Your friend,
Ted

Her question:
   How does a person become baptized without a church?

Response
  This has been done but it is not the plan we see in the Bible. Baptism and becoming part of the church were understood as part of the same process. No verse answers your question directly, but we can see it in looking at many verses. Compare Mark 16:15, 16, Acts 2:47. mr1615, ac0247.

    I have not found my church, but do want to be baptized.  I have never felt comfortable in a church. The people make me skeptical.

  Your feeling is frequently expressed by others. Churches include people who are faulty and whose hearts are not ready for heaven. Jesus told a story about this. Read Matt. 13 noticing whose job it is to worry about who is ready and who is not. You will remember Jesus' first core "church" of twelve disciples. Peter denied Him, James and John were "sons of thunder." Thomas doubted Him, and Judas betrayed Him.

   Thus far my journey has been very personal and private but honest. I have shared only with a few special people. I don't like being in the spotlight. Baptism is a personal matter for me.

  This I can understand. A walk with the Lord must be primarily personal and private even when belonging to a church. Then as you begin to attend, sharing with others is fellowship which strengthens everyone. Your good experiences are for sharing with others. The dark ones where you were in rebellion against God and His word, are for you to turn over to the Lord as you ask for forgiveness and make changes in your life. See Prov. 28:13. Rehersing details of sins, may actually tempt others to practice them.

   Also, does baptism in a church signify membership for those not already belonging to that church? Do you already have to be a member before you can be baptized there?

  In the church I'm affiliated with, membership and baptism go together. However, not being a member does not exclude one from attending and enjoying the fellowship of believers. Most churches are joined casually. But because of the whole-Bible base of my church, we don't rush people into the baptism and membership. We don't want people to accept doctrines just because the church teaches them. It has to be their own choice after prayerfully considering them. 
    Baptism of infants cannot express their choice to follow Christ. You probably studied about this in your lesson.
   So what is the purpose of Baptism? It's the same as the reason for weddings. Both are serious commitments. People who just "live together" are sometimes happy (I guess), but without a serious commitment, they can break up and leave hurting and hatred. Children born to them are left without that security of commitment.
    Public baptism by immersion is less scary when you understand the process. The minister explains just what will happen so you won't have a surprise. Ladies from the church are there to help you, too. 

   In conclusion, remember Jesus' words: "Also I say unto you, Whosoever shall confess me before men, him shall the Son of man also confess before the angels of God: But he that denieth me before men shall be denied before the angels of God." (Luke 12:8, 9.). When you follow Jesus in baptism, you witness to the church and to your friends and family that you are making a serious commitment to Him and that your example is good for them to consider.