kcact
Proving relationships is always difficult without other information to back it up.
Researching the baptism of Hannah Robinson, and looking at the naming patterns of the Samuel Mayor & Hannah Robinson I think I can safely say that Hannah was baptised at Great Shelford, Cambridgeshire, on 15 August 1802, the daughter of William Robinson & Mary.
(Source Family Search) Indexing Project (Batch) Number: C13829-1 , System Origin: England-ODM , GS Film number: 990398
Using the Batch number above & Family Search, Hannah Robinson had siblings of Susan, 1798 Elizabeth, 1805, William 1807, David, 1809, Joseph 1811, Peter 1813, James 1815 Frederick 1817 & Ebenezer 1819.
The most likely marriage would appear to be William Robinson & Mary Moore Marriage
Event Date: 1797
Event Place: Great Shelford, Cambridgeshire, England
Indexing Project (Batch) Number: M13829-1 , System Origin: England-VR , GS Film number: 990398 , Reference ID: 2:3Z8F7RN
However there was another marriage William Robinson & Mary Lack
Event Date: 21 Jul 1800
Event Place: Willingham By St Ives, Cambridge,England
Indexing Project (Batch) Number: M13062-1 , System Origin: England
But Willingham & Great Shelford are some 15 miles apart, and a Susan was baptised 1798 so the first marriage seems preferable.
No doubt you are aware of the 18th & 19th century practice in England of naming children after family members, usually to a certain order so as not to upset anyone, so the pattern for sons was:
◦ The first son was named after the paternal grandfather
◦ • The second son was named after the maternal grandfather
◦ • The third son was named after the father
The pattern for daughters was:
• The first daughter was named after the maternal grandmother
• The second daughter was named after the paternal grandmother
• The third daughter was named after the mother
In the Mayor family, these were the names:
William Mayor’s parents were Samuel Mayor & Frances Woodland
Looking at your blog the Robinson family’s names seem to link with the family siblings of Hannah Robinson, so going on that basis I would say there is a probable link between the 2 families.
Tom