Had another look, still can't find the 1901 census info but did find the info below, it looks like William Henry's parents were Thomas Smith and Jennie Smith (daughter of John Salmon and Jane Davis). Jennie appears to have died in 3Q 1891 and Thomas Smith remarried to Jane Davis in 1898. Being related to a large number of Birmingham/Aston Smith's I thought there might be a link, but doesn't look that way. Good luck with your search.
Regards
Bob
1871 census transcription details
Address: Smallbrook Street, Birmingham
SALMON, Jane, Head, F, , 1834, Hardware dealer, born warwickshire37
SALMON, John, son, M. 17, 1854, Hardware dealer, born warwickshire
SALMON, Jennie, daughter, F, 14, 1857, hardware dealer, born warwickshire
DAVIS, Mary, mother, F, 74, 1797, born worcestershire
OAKLEY, Harriet, G servant, F, 23, 1848, born Herefordshire
1880 Wedding
groom's name: Thomas Smith
groom's birth date: 1854
Grooms age 26
bride's name:
Jennie Salmon
bride's birth date: 1857
Brides age 23
marriage date: 15 Feb 1880
marriage place: St. Andrew'S, Bordesley, Warwick, England
groom's father's name: William Smith
bride's father's name: John Salmon
groom's marital status: single
bride's marital status: single
indexing project (batch) number:
M02044-7
system origin: England-EASy
source film number: 1545622
reference number: p123
Civil Registration event: Death
SMITH, Jennie Constance
Registration District:
Aston
]Year of Registration: 1891
Quarter of Registration:
Jul-Aug-Sep
Age at death: 35
Volume No:
6D
Page No: 128
Civil Registration event: Marriage
SMITH, Thomas
Registration District:
Aston
Year of Registration: 1898
Quarter of Registration:
Oct-Nov-Dec
Volume No: 6D
Page No: 807
MarriageFinder:
Thomas Smith married one of the following people
DAVIS, Jane
DODD, Eliza Storer
BURKE, Charles