Peter Smith born 1805-1806 Kilmore in Galway

Peter joined the army 72nd foot in Glasgow age 19 in 1824, his occupation was calico printer. he was discharged from army in 1846 . He was discharged from army to pension from Royal Hospital Kilmainham in 1847. Cannot find any birth details for Kilmore 1805 - 1806. Can anyone help.