Lavinia Bingham, the daughter of Charles Bingham and Margaret Smith, was born in 1762. She was the 4 x great grandmother of Prince William, Duke of Cambridge.
She married George John Spencer, later second Earl Spencer, in March 1781. Extract of a letter from Castlebar, March 13.
“On Friday last, an account was received of the marriage of Miss Bingham, eldest daughter of Lord Lucan, (a young lady amiable in every particular, and remarkably well accomplished) To Lord Althorp, the only son and heir to Earl Spencer, a nobleman one of the first fortunes in Great-Britain, and whose character is in every particular equal to his rank and fortune."
She was a noted illustrator.
Lavinia (née Bingham) Spencer died in 1831. She was buried at St Mary the Virgin with St John Churchyard, Northamptonshire, England. 
↑ Find a Grave, database and images (https://www.findagrave.com/memorial/13869342/lavinia-spencer : accessed 22 October 2021), memorial page for Lavinia Bingham Spencer (27 Jul 1762–8 Jun 1831), Find a Grave Memorial ID 13869342, citing St Mary the Virgin with St John Churchyard, Great Brington, Daventry District, Northamptonshire, England ; Maintained by KRW (contributor 46517473)
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It may be possible to confirm family relationships with Lavinia by comparing test results with other carriers of her mitochondrial DNA.
However, there are no known mtDNA test-takers in her direct maternal line.
It is likely that these autosomal DNA test-takers will share some percentage of DNA with Lavinia: