Trying to find out who claimed my child on the 2008 tax return,without giving any other partys to do so ?

If you think that you are the one who can claim the dependent, then file your tax return and claim the dependent. It you are unable to efile, then send paper return. IRS with then contact both of your and figure out who must amend the tax return and pay the tax due with interest and penalty.

Only custodial parent can claim the child. It does not count who is paying child support. Also, non-custodial parent can claim the child only if the custodial parent signs a release Form 8863 or there is a court order meeting the IRS requirements. Who can claim the child if the parents are divorced, separated or unmarried, read: Your U.S. Tax Return: Child of separated or divorced parents