Hello!
May I ask where you found those records? I only have access to A******y, and they didn't come up! I searched familysearch too...
I think that Ballard may just be a coincidence... the two marriage records you posted both list Ballard's as witnesses:
6th August 1855 St Mary at Lambeth
George Dickeson Full Age Widower Calico Printer Lambeth Thomas Dickeson (Deceased) Gold Beater
Frances Sarah Norrish Full Age Widow Lambeth Thomas Cooper (Deceased) Tailor
Both signed
Witnesses John Dickeson and Frances Ballard (this looks like Fanny on the record)
10th January 1842 St John the Baptist, Hoxton
William Bunkum Full Age Bachelor Smith Turnmill Street Blank
Hannah Remington Full Age Widow Turnmill Street Thomas Dickeson (Deceased) Tinman
Both made their mark
Witnesses Maria Johnson her mark
Wm Ballard
It's still bugging me, I know I have seen the name elsewhere but can't find it! Am checking censuses for neighbours...
Alice