Her birth was registered as plain Lotty Tuckwood - so was 'Carrington' added at baptism as gesture towards Edwin and Charlotte? Her parents had a number of children including an Edwin b.1890.
I can't seem to find Charles and Eliza Tuckwood on 1891 census to establish whether 'Lottie' was with them or not.
I think I found them took some digging around trying to find Clarence St. as per 1889 baptism
address for Lottie Carrington Tuckwood there is
NO Lottie with Charles & familyI used Rosella Tuckwood as she had same surname
RG12; Piece: 2705; Folio: 113; Page: 32
and from start of
Page 24 of 57 is the address Clarence Street found Charles & family on page 31 of 57 living at
99 Clarence St written in this order
Eliza A Tuckwood wife M 34 Snenton Nott’s
Ada E dau 15 Lace doubles
Kate 6
Edith 5
Walter 2
Edwin 6 months
Maria
Booksby lodger s 37 Warwickshire Birmingham boot machinist
Charles Tuckwood Head M 36 Lack machine dropper maker his pob has been dittoed same as Maria
the names are a match to the 1901 census below
1901 census which would match the marriage entry this Charles' occ Cycle fitter
RG10; Piece: 3522; Folio: 48; Page: 4
Charles Tuckwood 46
Eliza Tuckwood 44
Katherine Tuckwood 16
Edith Tuckwood 15
Walter Tuckwood 12
Edwin Tuckwood 10
Charles Tuckwood 8
Claude Tuckwood 4
Rosa Tuckwood 2
Maria Brooksby 47
and 1881 census RG11; Piece: 3346; Folio: 79; Page: 13
11 Hampden PlMaria
Brooksby 27 Birmingham
Eliza A. Tuckwood sister married 24 pob dittoed
Ada E. Tuckwood neice 5 Snenton
Charles E. Tuckwood nephew 2
St Stephen
Baptism date 29 Nov 1875
Ada EllenFather Charles
Mother Eliza
Father
TUCKWOODPerson abode Beaumont St
Father occupation Dropper maker
St Stephen
Baptism date 25 Oct 1881
Charles EdgarFather Charles
Mother Eliza Anne
Father
TUCKWOODPerson abode
11 Hampden PlFather occupation Cricketer