Hello Colin,
I only have the 1881 census, so wouldn't have much information, I've looked for James Rimmer and there were 10, but I'll send you the most likely of them, none of the married ones had a wife called Alice:

Dwelling: Moss Bank Road

Census Place: Windle, Lancashire, England

Source: FHL Film 1341893 PRO Ref RG11 Piece 3731 Folio 38 Page 18

Marr Age Sex Birthplace
James RIMMER W 62 M Scarisbrick, Lancashire, England

Rel: Head

Occ: Ag Lab
Ellen RIMMER U 29 F Windle, Lancashire, England

Rel: Daur

Occ: Housekeeper
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Dwelling: Leigh Brow

Census Place: Walton Le Dale, Lancashire, England

Source: FHL Film 1342015 PRO Ref RG11 Piece 4243 Folio 49 Page 11

Marr Age Sex Birthplace
James RIMMER W 62 M Birkdale, Lancashire, England

Rel: Head

Occ: Farmer 65 AC
William RIMMER U 30 M Walton Le Dale, Lancashire, England

Rel: Son

Occ: Farmers Son
Mary RIMMER U 27 F Walton Le Dale, Lancashire, England

Rel: Daur

Occ: Farmers Daur
James GORTON U 70 M Ulnes Walton, Lancashire, England

Rel: Servant

Occ: Farm Servant (Indoor)
John W. EDGE U 15 M Longton, Lancashire, England

Rel: Servant

Occ: Farm Servant (Indoor)
John HODGE 13 M Hoghton, Lancashire, England

Rel: Servant

Occ: Farm Servant (Indoor)

Sorry if it isn't any help. Liz