When you say felon, I'm not exactly sure what you mean. Are you saying that you were convicted of a felony some time ago, but that you have taken care of whatever penalties came with it? Or are you currently dealing with probation or parole?
If you are no longer on probation or parole, and there is no current court order concerning such things as possession of a weapon, even one used in hunting, then I'd say you're fine with owning a crossbow.
If you are currently on probation or parole I can say with about 99.99% confidence that you are not legally allowed to own, possess or have in your residence or vehicle, any weapons.
Does this help, or did I completely miss your situation?