 Alderman of Candlewick Ward (1749–1771) Asgill was also Master of the Skinners Company (1749), a Governor of Bridewell Royal Hospital (1743–1750), Sheriff of the City of London (1753) and Lord Mayor of London (1757–1758).Created a Baronet on 17 April 1761 Asgill married (1st) Hannah Vanderstegen and (2nd) Sarah Theresa Pratviel.The Lord Mayor's Coach, still in use today, was built for his inauguration and Asgill House (on part of the former site of Richmond Palace) was designed for him by the architect Sir Robert Taylor as a weekend and holiday villa, his London residence being in Portman Square.