This is the Major Richard Davenport who wrote the letters to his brother John, published in 1968 by the Society for Army Historical Research
86.
According to the notes of the publication, his father, Richard the elder, died when Richard the younger was only 1 or so, and his mother died when he was 15. He and his brother John were put into the guardianship of their maternal uncle, Ralph Marsh, a woolendraper of Aldgate.
Richard studied law at Lincoln’s Inn from 1735 to 1741, but then bought a commission (on 27 May 1742) in the Fourth Troop of Horse Guards. He went off to fight, wrote a series of letters to his brother, and was killed in some pointless, stupid battle. Yet another pathetic waste of a life by the military mind.
He urged his brother, in very strong terms, never to marry (Letter 6
86). Fortunately, his brother didn’t listen, or I wouldn’t be here.