For the surname McGINTY in Ireland, there are 3,765 B rcds dating from 1731, and 1,754 M rcds dating from 1755. About 25% occur in Co. Mayo, with another 30% in Ulster Province.
There are NO B rcds for an Anthony McGinty B 1829 +/- 4 yrs. The earliest is in 1796, the next is in 1855. It seems this rcd didn't survive, or hasn't been transcribed. Suggest you wait until the remaining 6 of 32 Irish counties have been transcribed and try again.