The holders of the first creation were later elevated to the peerage as Baron Aveland and Earl of Ancaster, which titles are now extinct.
Lord Aveland married Clementina Drummond-Willoughby, 24th Baroness Willoughby de Eresby (a descendant of the Dukes of Ancaster and Kesteven).
His son, the third Earl, represented Rutland and Stamford in the House of Commons and served as Lord Lieutenant of Lincolnshire.
In 1951 he was summoned to the House of Lords through a writ in acceleration in his father's junior title of Baron Willoughby de Eresby.
The Heathcote Baronetcy also survived, and was inherited by the late Earl's kinsman, the ninth Baronet.
As a result, all male-line descendants of Sir William Heathcote and Lady Elizabeth, including the present Baronet, are in special remainder to these peerages.
The heir apparent to the baronetcy is the eldest son of the 10th Baronet, Alistair Robert Heathcote (born 1977).
The heir presumptive is the present holder's younger brother George Benjamin Heathcote (born 1965).