This sounds like an interesting connection!! No doubt will be a challenge trying to prove it!
I have been looking for Williams in my tree. I have a William born in 1812. Any chance that this is your William G's grandfather?? His father was Ralph Hutchinson b.1748 and mother was Hannah Bain (no dates). They were in Wigan/Blackrod. Ralph was 64 when he had William - he carried on having children until he was 80(!) by 4 women in total. Brothers and sisters of WIlliam were: By Betty Cranshaw: William b.1771, Alexander b.1773, Richard b.1779 (my line), John b.1781, George b.1784, Peter b.1786, Betty b.1791, David b.1793. By Sarah Pennington: James b.1799. By Sally Pennington: Ralph b.1807. By Hannah Bain: Jenny b.1810, William b.1812, Sally b.1814, Jenny b.1822, Mary b.1828.
The Whalley connection is intriguing. According to the Census, my Alice Whalley is called Hutchinson by the time of the Census in 1851 and at Cherry Croft, Wigan Lane, Wigan. Also with them there is a "Stepdaughter" Ann Rutter. The children Alice (Whalley) Hutchinson had with John Hutchinson were Joseph b.1850, Benjamin b.1851 (my g-g-grandfather), Ellen b.1855, George b.1857, Sarah b.1860 and John b.1863.
Hope this may bring about some more clues. Thanks to anyone that can provide any insight....
PS. I am in London, England.