I hope these are who you are looking for:
Name Age in 1871 Birthplace Relationship Civil Parish County
Augustin Dorney 33 Ireland Head Brightside Bierlow Yorkshire
Augustin Dorney 5 Hampshire, England Son Brightside Bierlow Yorkshire
Edward Dorney 1 Yorkshire, England Son Brightside Bierlow Yorkshire
Ellen Dorney 24 Hampshire, England Wife Brightside Bierlow Yorkshire
Isabel Dorney 3 Norfolk, England Daughter Brightside Bierlow Yorkshire
Joseph Dorney 6 Hampshire, England Son Brightside Bierlow Yorkshire
Augustine 33 is an Artist,
Address is back of 68 Brunswick Street, Brightside Bierlow, Sheffield