Hi
These are the ones I could find on the 1871 census
Arthur Edward Hawkins 8 Cirencester, Gloucestershire, England Son Cirencester Gloucestershire
Emily Lousia Hawkins 10 Cirencester, Gloucestershire, England Daughter Cirencester Gloucestershire
Leonard John Hawkins 9 Cirencester, Gloucestershire, England Son Cirencester Gloucestershire
Mary Hawkins 38 Marlborough, Wiltshire, England Wife Cirencester Gloucestershire
Mary Elizabeth Hawkins 12 Cirencester, Gloucestershire, England Daughter Cirencester Gloucestershire
William Hawkins 41 Stroud, Gloucestershire, England Head Cirencester Gloucestershire
William F M Hawkins 11 Cirencester, Gloucestershire, England Son Cirencester Gloucestershire
Hester Higgins 19 Calmsden, Gloucestershire, England Servant Cirencester Gloucestershire
Source information: RG10/2646
Registration district: Cirencester
Sub-registration district: Cirencester
ED, institution, or vessel: 5
Folio: 115
Page: 12
Household schedule number: 48
William is listed as a grocer
Joseph Hawkins 32 Gloucestershire, England Head Stroud Gloucestershire
Mary A Hawkins 1 Gloucestershire, England Daughter Stroud Gloucestershire
Sarah Hawkins 27 Gloucestershire, England Wife Stroud Gloucestershire
Walter Hawkins 3 Gloucestershire, England Son Stroud Gloucestershire
Source information: RG10/2633
Registration district: Stroud
Sub-registration district: Stroud
ED, institution, or vessel: 4
Folio: 91
Page: 29
Household schedule number: 170
Joseph was a carpenter
John Cox 23 Stone, Staffordshire, England Brother-in-law Barton St Michael Gloucestershire
Edwin Hawkins 32 Stroud, Gloucestershire, England Head Barton St Michael Gloucestershire
Elizabeth E Hawkins 23 Stroud, Gloucestershire, England Sister Barton St Michael Gloucestershire
Hannah Hawkins 26 Stone, Staffordshire, England Wife Barton St Michael Gloucestershire
Mary E Hawkins 3 Tewkesbury, Gloucestershire, England Daughter Barton St Michael Gloucestershire
Source information: RG10/2621
Registration district: Gloucester
Sub-registration district: South Hamlet
ED, institution, or vessel: 12
Folio: 34
Page: 11
Household schedule number: 62
Edwin was a commercial clerk to a cheese factory
Eliza Hawkins 22 Stroud, Gloucestershire, England Wife Stroud Gloucestershire
Jesse Hawkins 24 Stroud, Gloucestershire, England Head Stroud Gloucestershire
Rose E Hawkins 6 months Stroud, Gloucestershire, England Daughter Stroud Gloucestershire
Source information: RG10/2633
Registration district: Stroud
Sub-registration district: Stroud
ED, institution, or vessel: 2
Folio: 35
Page: 16
Household schedule number: 71
Jesse was a workman
Hope these help
Nicky