There's a probate record that could be a match:-
1940
BRENNAN James of the County Mental Hospital Lancaster died 4 March 1940 Administration Liverpool 18 May to Mary Brigid Brennan spinster. Effects £486 7s. 11d.
This corresponds with this burial:-
Yew Tree Cemetery, West Derby, Liverpool
8 March 1940, James Brennan, County Mental Hospital Lancaster, 63 years, Grave 3B 439
Before ordering the death certificate ask for help in determining names of others in this grave here:-
http://www.rootschat.com/forum/index.php?topic=651292.405 Corresponding death index:-
Name: James Brennan
Birth Date: abt 1877
Date of Registration: Mar 1940
Age at Death: 63
Registration district: Lancaster
Volume: 8e
Page: 2225
Blue