Bad News: General Sir George Eliot's daughter wasn't married to THE Sir Francis Drake, he was around about 200 years earlier.
Good News: His wife was directly descended from Sir Francis Drake so if you are directly descended from him you can still claim the lineage to Drake.
Also he had the title Baron Heathfield so there may be some family history in websites on the Peerage.
A quick wikipedia shows he had a son called Francis who died without children after which the Baroncy became extinct. And a daughter.
Francis Augustus Eliott, 2nd and last Baron Heathfield (31 December 1750-26 January 1813)
Anne Pollexfen Eliott (1754-24 February 1835), who married John Trayton Fuller on 21 May 1777