Benjamin junior like his brother John Thomas is relatively easy to follow on later censuses.
1891 census RG12 2535 folio 86
6 Pasture Lane St Margaret Leicester Leicestershire
Ben Baxter 32Leicestershire, Head Married Shoe rivetter
Annie Baxter 28 Leicestershire, Wife Married
Mary A Baxter 8 Leicestershire, Daughter
Liddy Baxter 4 Leicestershire, Daughter
Amos Baxter 1 Leicestershire, Son
1901 census RG13 2986 folio 154
18 Cumberland Street Leicester formerly All Saints Leicestershire
Benj Baxter 43 Leicestershire, Head Married Plasterer's labourer
Hannah Baxter 38 Leicestershire, Wife Married Wool ?bler
Lydia Baxter 17 Leicestershire, Daughter
Amos Baxter 11 Leicestershire, Son
Births Mar 1890
Baxter Amos Benjamin Leicester 7a 232
Births Sep 1884
either
Baxter Lydia Leicester 7a 287
or
Baxter Lydia Leicester 7a 306
Births Sep 1882
Baxter Mary Ann Leicester 7a 275
This is I think the marriage of Benjamin senior's second wife. A late marriage considering the evidence of the 1891 and 1901 censuses which might indicate Mary Ann was unsure of her legal husband Benjamin's whereabouts?
Marriages Jun 1901
Baxter Mary Ann Leicester 7a 643
Timson Bryan Leicester 7a 643
Full 1891 census entry including boarders
1891 census RG12 2530 folio 106
20 Rodney Street St Margaret Leicester Leicestershire
Thomas Corbett 78 Hinckley, Leicestershire, Head Married F W K
Elizabeth Corbett 68 Hinckley Wife Married
John Corbett 31 Leicester, Son Single Chimney Sweep
Mary A. Baxter 40 Hinckley, Leicestershire, Daughter Widow Cashmere winder
Bryan Timson 53 South Crotton?, Leicestershire, Boarder Widower Labourer Bricklayers
Bryan Corbett 5 Leicestershire, Son
Jane Corbett 2 Leicestershire, Daughter
Flora Corbett 2mths Leicestershire, Daughter
1901 census RG13 3005 folio 182 & 183
21 Knighton Street Leicester formerly St Mary Leicestershire
Bryan Timson 64 Leicestershire, South Croxton Head Widower Road Labourer Corporation
Mary A Baxter 49 Leicestershire, Hinckley Lodger Widow
Charles B Timson 20 Leicestershire, Leicester, Son Shoe rivetter
Bryan Baxter 15 Leicestershire, Leicester, Son Shoe rivetter
Jane Baxter 12 Leicestershire, Leicester, Daughter
Flora Baxter 9 Leicestershire, Leicester, Daughter
Mary A Baxter 7 Leicestershire, Leicester, Daughter
Births Mar 1886
BAXTER Bryan Leicester 7a 259
Births Sep 1888
BAXTER Jane Leicester 7a 206
Births Mar 1891
BAXTER Florrie Leicester 7a 267
Births Dec 1894
Baxter Mary Ann Leicester 7a 172
I've no idea whether these Corbett/Baxter/Timsons continued on as Baxters or chose to become Timsons after their mother's marriage. What is clear is that Mary Ann was no longer with Benjamin Baxter by at least no later than the year 1885.
Regards
Valda