It is strange Rosie and I'm not convinced its either of those names.

If Jeanette was born November 1870 as per death cert then these were the births for that quarter

:-
Buckingham Jeanette Edith - Depwade 4b 210 (its not this one - probate in UK 1964 - married name Churchyard)
Cannons Jeanette St Clair - Wandsworth 1d 500 (buried 3 Feb 1872 - Norwood Cemetery, Norwood Road, Lambeth)
Hardaway Jeanette Alice - Brentford 3a 47 (married William James Innes - St John, Isleworth - 12 Dec 1891)
Lingham Jeanette - Maidstone 2a 581 (couldn't see anything so far on this one)
Nuttall Jeanette Blanche - W. Ham 4a 34 (married William Butler - died 1933 UK)
Smith Jeanette Shoreditch - 1c 103 (hmmm - couldn't be certain on this one so far)
Thompson Jeanette Keighley - 9a 199 (married Albert James Oakley - 1894 - Yorkshire.)
Nothing for Jeanette Richards/Richardson in that quarter

Sandra