His successor, the 2nd Earl of Abercorn, was additionally created Lord Hamilton, Baron of Strabane, in the Peerage of Ireland, on 8 May 1617.

He was attainted in Ireland in 1691, and the Barony of Strabane forfeited, but his brother Charles Hamilton, 5th Earl of Abercorn, obtained a reversal of the attainder and recovered in 1692.

He was additionally created Baron Mountcastle and Viscount Strabane, in the Peerage of Ireland, on 2 September 1701.

He was succeeded by his nephew, who was created Marquess of Abercorn in the Peerage of Great Britain on 15 October 1790, after having sat in the House of Commons as MP for East Looe and for St Germans.

The traditional burial place of the Dukes of Abercorn and their families is the cemetery at Baronscourt Parish Church.