Grosvenor sat as Member of Parliament for Chester from 1755 to 1795. In 1784 he was the leader of the St. Alban's Tavern group who tried to bring Fox and Pitt together.
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Family
Grosvenor died in February 1795, aged 60.
Grosvenor had married Deborah, daughter of Stephen Skynner, in 1758. They lived at Swell Court in Somerset and had four sons and two daughters. Their eldest surviving son Richard Erle-Drax-Grosvenor was a Member of Parliament while their third son Thomas Grosvenor was a distinguished military commander.