Hon Elizabeth Gerard (b. c. 1682; d. 13 Feb 1743/4), only dau. and hrss. of Digby Gerard, 5th Baron Gerard, by his wife and third cousin once removed Lady Elizabeth Gerard, 3rd dau. and cohrss. in her issue of Charles Gerard, 1st Earl of Macclesfield. 
She married James Hamilton, 4th Duke of Hamilton as his 2nd wife on 17 July 1698 at Bushy Park, Richmond (contract 16 July) .
Lord James Hamilton, later 5th Duke of Hamilton
Lord William Hamilton MP (dsp. 11 Jul 1734), mar. 30 Apr 1733 Frances Hawes (mar. (2) 19 May 1735 William [Vane], 2nd Viscount Vane; dsp. 31 Mar 1788), only dau. and hrss. of Francis Hawes, of Purley Hall, co. Berkshire
Lord Anne Hamilton (b. 12 Oct 1709; d. 25 Dec 1748), mar. Oct 1742 Anna Charlotte Maria Powell (d. 26 Jul 1791), only child and hrss. of Charles Powell, of Pen-y-bank, co. Carmarthen, and had issue:
Lady Elizabeth Hamilton (d. 2 Apr 1702)
Lady Catharine Hamilton (d. 22 Dec 1712)
Lady Charlotte Hamilton (b. c. 1704; d. 5 Feb 1777), mar. 1 May 1736 Charles Edwin, of Dunraven, co. Glamorgan (d. 29 Jun 1750)
Lady Susan Hamilton (d. 3 Jun 1755), mar. 3 Aug 1736 Anthony Tracy later Tracy-Keck, of Great Tew, co. Oxford (b. c. 1725; d. 30 May 1769), 3rd son of John Tracy, of Stanway, co. Gloucester (by his wife Anne Atkins, only dau. of Sir Robert Atkins, of Saperton, co. Oxford, Chief Baron of the Exchequer), only surv. son of Hon Ferdinando Tracy (by his wife Katherine Keck, 1st dau. of Sir Anthony Keck MP, of Mickleton, co. Gloucester, and Great Tew, co. Oxford, a Commissioner of the Great Seal), 3rd son of John [Tracy], 3rd Viscount Tracy, and had issue
Find A Grave: Memorial #195931880 Find a Grave, database and images (https://www.findagrave.com : accessed 04 November 2020), memorial page for Elizabeth Gerard Hamilton (1680–13 Feb 1744), Find a Grave Memorial no. 195931880, citing St. James Churchyard, Piccadilly, City of Westminster, Greater London, England ; Maintained by Todd Whitesides (contributor 47553735) .
It may be possible to confirm family relationships with Elizabeth 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 (beta) of DNA with Elizabeth: