JereK,
I read your post, and I immediately thought of the woman at the well. I am not sure if you know the story, so I'll tell it to you. (It is found in John 4). There was this Samaritan woman who had gone to a well to draw. When she arrived, Jesus asked if she would get some water for him too. She was like "Samaritans don't deal with Jewish people and you know that." Jesus responded telling her that if she knew who he was then she would have asked him for living water. The story goes on and Jesus asks her to bring her husband to the well. She tells him that she doesn't have a husband. Guess what? Jesus tells her (w/o any prompting on her part) that she has had five husbands and the man she is currently living was not her husband. The story ends when the woman goes back to the Samaritans and tells them to "Come and see a man" who could tell her everything that she ever did. Her testimony, the lady with five divorces who was most likely "shacking up," led to the salvation of many people who did not know Christ.
http://www.biblegateway.com/passage/?book_id=50&chapter=4&version=31&context=chapter
What was the point of that and what does it have to do with you. Christ already knows your desires, wants, and wishes. He knows your successes and failures. More importantly, he does not just know your life story, but He has compassion-actually more than anyone else you will ever know. Hebrews 4:15 tells us that "we do not have a high priest who is unable to sympathize with our weaknesses, but we have one has been tempted in every way, just as we are-yet he was without sin." I do not know about you, but that is such a relief to me that Christ has been tempted in EVERY way so he knows what we feel.
God both knows and love you as is, but I encourage you to ask Jesus for the living water that he said would satisfy the void that you are feeling. (This is in John 4 too). No man (almost perfect or low life scum) can feel the void in your life except Jesus, and it is God who has put that desire in your life to want something more for yourself and your child. I just wanted you to know that God can turn your mistakes into a testimony that is powerful beyond measure just as he did for the Samaritan woman and so many others.
In the mean time, I'll pray for you b/c I can witness from first-hand experience that God specializes in things that seem hopeless and impossible.
ETA: The most important part that I forgot in my original post is that CHRIST used the woman, and He can use you to accomplish His purpose. The point is that Christ is not like man who will only accept you based on your appearance, background, etc. Know that you will NEVER be able to make yourself complete on your own, BUT GOD, who started a good work will complete it. I know this because God inspired Paul to write it in Philippians 1:6. Additionally, I have seen God working in my own life to make me complete in a way that I could never do on my own.