The OS Names Books record Arthur Alexander as the proprietor of lands in the parish of Ardrahan in the 1830s. James Mahon of Northampton was acting as agent. The Alexander family owned c.300 acres in county Galway in the 1870s and Arthur Alexander's address is given as Maryville House. Hussey de Burgh gives the address as Maryville House, Kinvara and indicates that the family also owned over 300 acres in county Clare. Walford states that Arthur Alexander's mother was Mary, daugher of Giles Mahon.