You have a court case coming up. If she pleads NOT having any income for the last two years, ask that you be allowed to amend YOUR tax returns to include the child she has credit for. In the event that she DID have income, that should smoke out that income.
The only ones who can LEGALLY claim the child are the ones who are supporting the dependents, or in the case of a divorce/ unmarried situation, the one who has been allowed to do so in the court order.
Now, if she allowed her boyfriend to claim the child, oh well, because HE is not a party to the divorce.
And again, if, in your tax filing, you were eligible for EITC, you would be able to get some additional monies for the child who you are not allowed to claim if you did not do so.
Ldij also knows taxes very well.