im married to an american citizen but dont have my legal papers can my husband get the custody of my child and get me deported

You posted this question under "Child Custody" but what you really need is an Immigration lawyer.  You may need a lawyer for a divorce and custody case, as well, but I don't have enough facts to advise you in those areas.  As long as you are still residing in the household with your husband and child, it is difficult to address the domestic relations issues, except by agreement. This answer is given in accordance with the laws of Virginia and may not be applicable in any other state.  It should not be construed as legal advice, as that would require a more thorough analysis of all of the facts involved in a specific case.  If you need further information or assistance, please feel free to contact my office for a consultation. Case results depend upon a variety of factors unique to each case. Case results do not guarantee or predict a similar result in any future case.