Married January unaware of husbands past child support issues, currently in jail ,not working steadily. I am supporting him and his baggage. Can I have marriage annulled being marriiage is under a year?
Time of marriage doesn't really address the issues related to annulment. An annulment is available if there is something that makes the marriage void from its inception. Grounds include fraud in the inducement to marriage, or inability of one of the parties to contract (due to non-age, prior existing marriage, improper relationship, incompetence, etc.) Without knowing more, I cannot say whether annulment is available to you.
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You have not given sufficient facts in your post to meet your burden of proof for a Judge to grant you an annulment. Why do you continue to support his baggage? You do not have any legal obligation to provide any support for your husband's children from a prior marriage. That burden lies exclusively with him and the mother of the child/children.
A divorce may be a better option for you, if you feel that your marriage is irretrievably broken, and there is no hope of reconciliation. Many attorneys will offer you a free consultation, so that he or she may gather some more facts, and give you some advice about your best options moving forward.