Family Law Questions? Ask a Family Lawyer Online.
The court must do what is in the best interest of the child. In order to have a chance, you'll have to convince the judge that the child being with you is in her best interest. A showing of a stable home environment, financial situation, school situation, family in the area and time available with the child are all considerations the court will make.
There is certainly a chance that you can get custody of your child, but full custody is tough even for anyone to get. It is most likely that the court will set up joint custody.