Sorry for the delay. Very busy week! Just wondering if you have any evidence of Elizabeth's birth or proof that she was the daughter of Asa Bancroft & Mercy Tyler. If not, perhaps you can tell me where I might find proof and how you found information on your Mercy and Diana. Sorry to say, I haven't come across them in my research.
Although I have an extract of Elizabeth's death record witnessed by an Asa Bancroft in 1860 and evidence that she named one of her sons Levi Tyler Wade, Elizabeth's line remains entirely speculative without birth documentation to connect her to Asa & Mercy.
Do you know exactly when Mercy & Asa settled in Canada? It appears they started their family in Groton, Ma. and maybe I've been looking too hard for evidence of a Canadian birth record for Elizabeth.