Richard,

Is it possible that Emma's father was Richard Lewis rather than Robert? I find a Richard Lewis, farmer in Cheshire on the 1881 Census. He has a married daughter, Emma Quirk, age 30 at his home at the time of the census. Perhaps your Emma was visiting her Mum and Dad? Here is the listing:
Dwelling: Brow

Census Place: Kingsley, Cheshire, England

Source: FHL Film 1341843 PRO Ref RG11 Piece 3519 Folio 46 Page 46

Marr Age Sex Birthplace
Richard LEWIS M 61 M Kingsley, Cheshire, England

Rel: Head

Occ: Farmer Of 4 Acres
Mary LEWIS M 60 F Cuddington, Cheshire, England

Rel: Wife

Occ: Farmer Wife
Roger LEWIS U 34 M Kingsley, Cheshire, England

Rel: Son

Occ: Agr Labourer
Emma QUIRK M 30 F Kingsley, Cheshire, England

Rel: Daur

Occ: Visitor
Annie LEWIS 13 F Kingsley, Cheshire, England

Rel: Daur

Occ: Scholar
Mary J. LEWIS 10 F Kingsley, Cheshire, England

Rel: Gr Daur

Occ: Scholar