You can use the Ancestry.co.uk 1881 census and put what you are looking for in the Occupation box and hope for the best.
When the list comes up you just get the usual index - Name, Parent or Spouse, Birth Year, Birthplace, Relation, Civil Parish, County, but from this list if you found one you are interested in, it would be easy to check it on the familysearch.com site to get the full family details.
Stan may have used Bath Chairman, I entered bathchair and only came up with 48 entries. However if I put in bath chair it produced 273 entries and wondering what the difference was going to be I looked at the first one - Thomas Aldington of London and he was a Bath Chair Proprietor.
So it's not an exact science but it's possible.