I agree with Ann.
In Nova Scotia records, I can confirm that I don't see a Gould family noted in Annapolis among the first settlers (Planters & Pioneers), or the Loyalists (UELAC). The only Gould I see in Annapolis records at the time of Samuel's birth is Hannah, who married William Lettany of Digby in 1795, and her parents are not noted. Otherwise the online resources don't show any Gould marriage, probate, land or tax record in the Annapolis area during that period.
It seems possible to me that the family only stopped in Annapolis for a short time before moving on to PEI. I wonder if there are any Goulds in PEI who could have been Samuel's parents? A will or probate file could help, and sometimes land records are useful. Possible siblings can also provide clues. The PEI online resources are here: https://www.princeedwardisland.ca/en/service/search-public-archives-material-online, and the archives staff may be available to do lookups for a fee, since travel is not possible.