Folklore and oral history gain a mythic aspect with retelling, often to make the story match another model account of family origin, even when there is no factual value to the discourse.
The Bond ancestor in the Gaspe appears to be from Newfoundland in Cox's census (1777?) and Element appears from England to Quebec City around the same time, later settling nearby to Bond. Neither Bond nor Element claim Irish origin.
The Element men in the Gaspe married local gals, some of whom had an Irish ascendant further back. The Bond clan had many children who married locally as well.