I would expect them to be with any others for the Fulham registration district. Fulham was a sub-district of Kensington at one point, when are we talking about? Copied this from the Genuki page:
Fulham
Created 1st April 1875 (out of Kensington district). In Middlesex until 1889.
Sub-districts : Fulham; Fulham North East; Fulham North West; Fulham South; Hammersmith; Hammersmith St. Peter; Hammersmith St. Paul; Hammersmith North; Hammersmith South.
GRO volumes : 1a (1875-1930).
Fulham, Hammersmith (1875-1913).
Registers now in Hammersmith & Fulham district.
The records are also included in the main GRO indexes.
Nell