Sir John Fleming, 1st Baronet

of Brompton Park in the County of Middlesex in the Baronetage of Great Britain on 22 April 1763.

His elder daughter Jane married Charles Stanhope, 3rd Earl of Harrington.

His younger daughter Seymour Dorothy Fleming (1758–1818) was involved in a scandalous separation from her husband Sir Richard Worsley.

Lady Fleming remarried in 1770 to a rich sexagenarian born in Barbados, Edwin Lascelles, 1st Baron Harewood.

This biography of a baronet in the baronetage of Great Britain is a stub.

Arms of Fleming: (Baron Fleming (or Baron Slane)): Or, a chevron within a double tressure flory counter-flory gules . These arms were borne as an inescutcheon of pretence by Charles Harrington, 3rd Earl Harrington, husband of the 1st baronet's daughter and co-heiress Jane Harrington