I got divorced a year ago. My ex husband has just recently taken a woman to court and won $35,000 as for the 10years we were together we were paying child support to the woman and the child was not his. Am I entitled to any share of this amount?

No why should you, while you may have been helping him pay, it was his obligation to pay support, the support was in his name only, had he got ordered to pay 30,000, would you be wanting to help pay it also ?

Next you are already divorced.

Probably not. The initial judgment for child suport was solely his, so likewise any repayment that's ordered would be his and his alone.