Beck is not Manx.
I see a marriage for Martha to Robert Corlett, 20 Dec 1860 at Lonan (Laxey)
She was probably the daughter of John Beck & Ann Cannell, bp 1 Mar 1835 Braddan

There is a baptism for a Thomas 24 Jan 1841 at Ballaugh and for William Edward 27 Mar 1838 at Ballaugh, sons of John & Ann Cannell

Could this be your family?