This summary is for my own benefit (I was fast losing track!). Congratulations everyone on great finds.
It now seems almost certain that Kate EADE, the mother of Millie EADE b 1912, is the Kate EADE, b 1885, daughter (illegitimate?) of Mary HAWKINS/ROE/EADE later WHITE/BENNETT & (probably) Caesar Augustus EADE.
If this is correct, then it explains why Kate got the name of her father wrong as he died before she was born - she would not have known him. Perhaps she just picked on the given name of one of her half-brothers, Horace.
Mary HAWKINS's maiden name is not yet confirmed.
It is probably HAWKINS in the light of the 1874 baptism of Charles HAWKINS in the IGI (mother Mary HAWKINS, no father named). From age in censuses, it seems that Mary HAWKINS was born ca 1852-1855. Her birthplace is given as Sussex - Fittleworth in 1881, Petworth in 1891 and Littleworth in 1901.
There is the birth of a possible Mary HAWKINS Mar qtr 1851, Chichester, Sussex - Chichester included Fittleworth which was later taken over by Petworth. This birth is probably the same as the following from the IGI - Mary HAWKINS bap 28 Jan 1851, parents Josiah HAWKINS & Phoebe. A Josiah HAWKINS m a Phoebe CHEATER, 28 Sep 1849, Pulborough, Sussex.
ROE seems to be a married name.
EADE is probably just an assumed name - no marriage to Caesar EADE has been found.
WHITE seems to be a married name.
BENNETT seems to be a married name
This scenario still fits with the family's idea that Kate was considerably older than her husband Arthur MORRIS. Their ages were given as 25 and 21 on the marriage cert but Kate would really have been 28.
And it leaves yet to be solved the question of which family Kate worked for - it's still possible that it was the Kennedy O'Brien MARTYN family especially as one of Kate's MORRIS sons was named Kennedy O'Brien/O'Brian MORRIS possibly after either or both of Kennedy O'Brien MARTYN snr & jnr).
And it still leaves unresolved the question of who was Millie EADE's father.
1874-1875
Mary HAWKINS has:
Charles HAWKINS b Mar qtr 1874 Thakeham, Sussex
(bap 28 Feb 1874, Pulborough, Sussex, mother Mary HAWKINS, no father named)
Ellen HAWKINS b Mar qtr 1875 Thakeham, Sussex
1875-1880
Mary HAWKINS marries James ROE, Dec qtr 1875 Thakeham, Sussex
They have:
Horace ROE Dec qtr 1876 Thakeham, Sussex
Alice ROE Mar qtr 1880 Petworth, Sussex
1881 census
EADE Caesar Augustus, Head, unmarried, 25, Ag Lab b Ash Surrey
(Caesar's baptism in 1858 can be found in the IGI. He is a son of Richard Ede & Sarah, and has siblings William 1846, Elizabeth 1848, Emily 1850, and - possible twin - Alice 1858)
ROE Mary, Servant (Housekeeper), married, 28, b Fittleworth, Sussex
and Mary's children
HAWKINS Charles 7 b Pulborough, Sussex
HAWKINS Nelly 6 b Pulborough, Sussex
ROE Morris (transcription error for Horris/Horace?) 4, b Pulborough, Sussex
ROE Alice 1, b Byworth Petworth, Sussex
1881 Sep qtr
EADE Archie b Farnham
1883 Dec qtr
EADE Rose b Farnham
1885 Mar qtr
Caesar Augustus EADE, age 29, dies Farnham Surrey (on the border of Surrey, Sussex & Hampshire)
1885 Sept qtr
Kate EADE born Farnborough (an alternative name for Farnham) - birth cert needed
1886 Dec qtr
Mary EADE marries in Farnham; a Thomas WHITE is on the same page
1891 census
Hounslow, Middlesex
WHITE Mary, married, Head, 36 b Petworth Sussex
EADE Archie, 10, b Ash Surrey
EADE Rose, 6, b Ash
EADE Catherine, 5, b Ash
WHITE Daisy, 3, b Ash
WHITE Ada, 1, b Hounslow
BENNETT William, lodger 76 (??), single, labourer b Sunbury, Middlesex
1898 Sep qtr
Mary EADE marries at Brentford; a William BENNETT is on the same page
1901 census
BENNETT William Head 57, wireworker, b Sunbury, Middlesex
BENNETT Mary Wife 49, b Littleworth, Sussex
EADE Kate Stepdaughter 16, b Ash, Surrey
BENNETT Daisy Daughter 13, b Ash, Surrey
BENNETT Ada Daughter 11, b Hounslow, Middlesex
1909 Dec qtr
Daisy Louisa BENNETT marries in Farnham, a Walter Ernest ALLEN is on the same page
1912
Photo said to be of Kate EADE working as a Nanny with the three children she was looking after.
1912 December
EADE Millie born Hackney, mother Kate EADE, no father named.
1913 December
Kate EADE, 25 (really 28) marries Arthur Henry MORRIS 21. Witnesses are Daisy ALLEN (presumably Kate's half-sister) and W. ALLEN (presumably Daisy's husband). Kate gives her father's name as Horace.
JAP