Hi
To marry again, as opposed to living with someone else there would have to have been a divorce. You mention the family disowned him you don't mention his wife divorced him. She would be the one who at the time, would have the grounds for divorce.
His death certificate will give you who registered the death and if he left a will who benefitted from the estate. Online probate indexes only go up to 1966. There doesn't appear to have been a second marriage as shown in the GRO indexes for an Alfred Buckthorpe. There are marriages for Alfred's with second initials.
Regards
Valda
