These are known descendants of Thomas and Margaret Beck of Ireland. They immigrated to New Brunswick about 1827, settling in New Ireland, Albert County.
One known Y-DNA test puts the males of this Beck line in Haplogroup I1. See Ervin Beck's profile.
Also the separate family of Martin Beck, Fort Cumberland German baker, who later settled in Hillsborough.
Neither families to be confused with that of Abial Peck, American Revolution veteran and early settler in Albert County.