Hi Lucy,
I have not had a Barbados case, the law is usually lex situs for immovable property - regardless of the UK will, the property would devolve under the law where it’s situated.
I’d question the former and suggest the later is correct. Here the spouse can be non-dom and claim under I(PFD)A 1975.
The spouse would need to engage legal advice in Barbados. As would be the case here if the roles where reversed.
Richard
PFEP