Does a single mother has full custody of her child?
Custody is decided upon by the courts. Living in different states you will most likely have sole custody b/c there is no way joint custody will work. He will probably however be granted visitation rights unless he hurts or endangers the child. Rule of thumb in divorce and custody, the one who files first generally wins. Keep in mind some states require you to be resident there for so long prior to you being able to file so if you leave the state he might have the upper hand and be able to file before you. I am not sure how Texas works but in Ohio if you move here, you can go ahead and file for temporary custody to tide over till you can file for divorce though and unless he can prove you unfit you would get custody b/c we are talking about an infant.