This looks like Rose(a)'s first mar., she would be abt. 20y.
Marriages Q3 1873
AYLING Edwin
HOLBROOK Eliza
LEES Rose
Smith Alexander
St.Geo.H.Sq.
1a 739
This is supported by her death in Canada:
Ontario, Canada, Deaths, 1869-1938 and Deaths Overseas, 1939-1947
Rose Lees Archer
Death Date: 9 Apr 1930
Death County or District: Wentworth
Age: 76
Gender: Female
Estimated Birth Year: abt 1854
Birth Location: England
[The Cert., says b. 8 Apr 1854 her parents were Thomas Lees & Girtrude Key. Informant J E Archer, son)
Looks as though other family members may have emigrated also.
***
1891 census
Civil Parish: Kings Norton
Ecclesiastical parish: St Thomas in the Moore
Town: Balsall Heath
County: Worcestershire
RD: Kings Norton
Sub-RD: Kings Norton
ED: 22 RG12; Piece: 2352; Folio: 28; Page: 1
Samuel Archer 49
Rosa Archer 38 [b. Walsall]
Thomas Archer 14
Florence J Archer 11
Walter Archer 9
Harry Archer 7
John E Archer 5 [b. Sheffield]
Alfred S Smith 16 [Stepson, b. West minster]
Alexander Smith 13
James Read 24
Alfred and Alexander must be from Rose's first mar. to Alexander.
However, it still doesn't answer your first question..
Geoff