Dear Bgor, I can help and am very curious to know your connections with the family (my family). William Dent of Battersea Rise (also described as Bolingbroke Grove, Wandsworth Common, an East India Merchant) London (1740-1823) was the younger son of John Dent of Flass, Maulds Meaburn in the parish of Crosby Ravensworth, Westmorland. He paid for a large chunk of teh early 19th Century restoration of Crosby Ravensworth church. So far as I know, William Dent of Wandsworth never married so I don't think the Lancaster marriage is connected, though I could be wrong. He had an "adopted" (aka illegitimate I think) daughter Mary, who inherited the house in Wandsworth and lived to the age of 97 (died 1867). [Wandsworth is now part of London south of the Thames, but was at the time technically in Surrey. WD worked in London, so may be referred to as of London or of Surrey.]
WD of BR's brother Robert Dent (1731-1805, his neighbour on Wandsworth Common [Dents Road in Wandsworth is built over part of their grounds], senior partner in Child's & Co bank of Temple Bar, No. 1 Fleet Street, London) was the father of John Dent MP (1761-1826), also a partner in Child's & Co bank of Temple Bar [MP for Lancaster, where he bought an estate, and later for Poole].
William Dent of Brickendonbury, Hertfordshire (1761-1833, previously of Tumlak, Bengal and later of Grange Court, Chigwell, Essex) was a cousin of theirs, a son of Rev John Dent of Ainderby Steeple, Yorkshire, son of Rev Robert Dent of North Otterington, Yorkshire (the brother of John Dent of Flass).
I am descended from the elder brother of John Dent of Flass (William Dent of Trainlands, Maulds Meaburn 1684-1766) [as well in fact as from JD of F's daughter Mary Wilkinson nee Dent (1726-1812) - there were several intermarriages]. My parents still have a house in Maulds Meaburn and we are up there regularly [I am repeating the family tradition by living in London!].
I am very curious to know what your link or interest with the Dents is?
Kind regards
Nick (Dent)