There's a burial for John Hall in Gilroes:
buried 10 April 1935 age 73, of 63, Buckminster Road.
also in the same plot are Mary Eliza Hall, d 1935 age 66, of 9 Richard St, and John William Hall age 61, of Buckminster Rd; plus George Weston (1910, age 52) and Ernest Frederick Wright(1923, age 46).
I checked Welford Rd, just in case, but neither of the 1935 burials was there.
Belgrave was in the Barrow on Soar reg. district so the death registered in that district seems more likely.