very likely may be William Evenden and Mary Ann Callaghan? never married just lived together.
Yes, I think the general consensus is that those are Edward 1893's parents.
Mary Ann born Westminster ca 1849 probably daughter of Dennis Callaghan born ca 1825 & wife Julia born ca 1827 both Limerick, Ireland.
William born ca 1851 Deptford so possibly
Births Jun 1851
Evenden William Charles Greenwich 5 223.
DO we have William in 1851 [date 24 Mar so probably on it] or 1861?
ADDED:
1861 RG09/595/13/20
3 Albion Cottages Brighton
William Evenden 34 bricklayer b New Cross
Eliza 34 b Camberwell
Henry 13 errand boy b Deptford
William 10 b Deptford
Sarah 6 b Brighton
Jane 4 b Brighton
Mary Ann 1 b Brighton
1851 Charles Street Deptford HO107/1584/362/17 - William 25, Eliza 26, Henry 3.
Possible death for ELiza
Deaths Mar 1862
EVENDEN Eliza Brighton 2b 124
1871 RG10; Piece: 746; Folio: 73; Page: 26; @47 Angus Street, Deptford
William Evernden (ancestry) 43 bricklayer b New Cross
Ellen 30 (must be new wife) 30 b New Cross
Mary A 11 b Brighton
1881 RG11; Piece: 708; Folio: 102; Page: 12 @ 14 Walpole Rd, Deptford
W Evenden 53 plasterer b New Cross
E Evenden 40 b New Cross
C Evenden male 9 b New Cross
A Evenden male 7 b New Cross
E Evenden female 5 b New Cross
1891 RG12; Piece: 499; Folio: 18; Page: 30 @21 Milton Crt Rd
Wm Evenden 63 bricklayer b New Cross
Ellen 50 b New Cross wardrobe purchaser
Ellen 15 b New Cross do
Margaret Follins 40 sister-in-law
blindso this marriage
Marriages Jun 1865
Evenden William Bermondsey 1d 82
Follings Ellen Bermondsey 1d 82
This birth certificate will give maiden name of Eliza Evenden - Edward 1893's grandmother; I can't find a suitable marriage for William & Eliza [may have been Elizabeth]
Births Mar 1857
Evenden Jane Brighton 2b 206