Janan & Downside,
Been doing some extra homework on the Wakeham's & this West connection. I think you'll be interested in my findings

1841 - Amberley
George Prescott? 20
Harriet 20
Jane 6m
Ann Wakeham 12Guess who's next door?
Barnard WEST, wife Margaret & assorted children

1851- we know that Ann Wakeham is married to Edward Braby & living in Brighton with daughter, Harriet.
1861 - 14 Sussex Rd, Hove
Edward Braby 33 flydriver b. Amberley
Ann 32 ditto
Harriet 11 b. Brighton
Robert 9 ditto
George 4 b. Hove
Jane 2 ditto
In the same house,
Jane Wakeham 35 unm laundress b. Amberley
Thomas Wakeham son 4 ditto
William Wakeham son 2 b. Brighton
I think Jane is the wife of a cousin & possibly widowed rather than single. An extracted record on the IGI shows a marriage between a Charles Wakeham & JANE WEST 7/11/1852, Amberley. Barnard had a daughter, Jane born about 1831, so could be her!
Harriet had a brother, Charles (admitedly IGI submitted) bap. 1799, Amberley. This I would think is his marriage, from the SMI,
South Stoke, West Sussex, 23 Sep 1820:
Charles WAKEHAM, Amberley WSX (B)
Hannah AYLING
From the Bishops Transcripts.
Charles & Hannah had a son, Charles bap. 24/4/1831, Amberley (extracted record) I think it's him who married Jane West.
1871 - 14 Sussex rd, Hove
Edward Braby 42 flyman
Ann 42 laundress
George H. 14 b. Hove
Jane 12 ditto
Dan 9 ditto
Thomas 7 ditto
Elizabeth 4 ditto
Annie 2 ditto
Albert 1m ditto
I noticed from that ancestral file that Ann is down as dying in Salt Lake City in 1915 which might be the reason why I can't find them in 1881 - they emigrated- but can't find them on the Ellis Island website

However, did find the following names on the Salt lake City Cemetery Records,
Edward Braby, no date, Annie 1884, Dan 1884, George H, 1888. Possible children?
jane