Since he bought it during the marriage (And presuming using marital funds), it's presumed marital property. Talk to a family law attorney in your area for specific guidance.
if you have not done so, you should pursue the father of your four children for child support. david is right, that new house is presumed to be marital property in your marriage.
go see a lawyer.
You should consult with a divorce attorney ASAP.. The father of the four children should be paying child support for them. There are programs available through the state's attorney's office in your area that will not charge you to represent you in the prosecution of your child support issues. The home he is buying will be marital property, It will only really become a marital issue if there is actually some equity in it. Your attorney will need to do discovery to see what type of down payment he put down on it and where he got the money from. You may be entitled to some maintenance or spousal support but not for a really lengthy period of time. Again I suggest you get the divorce going ASAP. Good luck to you and your children.
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