It depends if the child has graduated from high school yet. In Illinois, child support is paid until the child turns 18 or graduates from high school, whichever is later, but in no event beyond age 19. A little before this occurs,, the person paying support will want to file a petition to decrease child support (or terminate if this is theater child).
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Often times. There is a provision in a settlement agreement that assigns property "in his or her respective name", or something similar. Look to see if there is a phrase similar to this to determine if it could be covered. You might also want to check the transcript from the prove up if there was one, which might provide additional insight.