some states do allow common law partners to recieve half of all property. If the child is his he could indeed fight for custody.
If your home is paid for and you expect him to leave or try to take some of your property at least consider deeding the home over to your parents until thing blow over. This way he could not obtain the house or force you to sell it.
keep records on his behavior and money spending as well.
Good luck.
Let me know if you need further assistance.
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