According to the Acheson-Buck family tree on Ancestry.com, The 1850 Census report for Andrew and Mary show both of them born in Ireland. And there is a record in the Ireland, Tithe Applotment books, 1823-1837 for a Andrew Acheson in the parish of Skerry, county Antrim.

You might check with the manager of this information to see if is the right Andrew you are looking for.

good luck