There have been two baronetcies created for persons with the surname Aylmer, both in the Baronetage of Ireland.
[1] The Aylmer Baronetcy, of Donadea in the County of Kildare, was created in the Baronetage of Ireland on 25 January 1622 for Gerald Aylmer of Oughterany, County Kildare: he was the son of Richard Aylmer of Lyons Hill and Elinor Fleming, of the family of Baron Slane.
[1] The Aylmer Baronetcy, of Balrath in the County of Meath, was created in the Baronetage of Ireland on 6 November 1662.
[1] The heir apparent is the present holder's son Fenton Paul Aylmer (born 1965).
A fictional Aylmer baronetcy appears in Anthony Trollope's 1866 novel The Belton Estate.