This is a nightmare family! They seem to move around a lot, and also give various places of birth! This is how I am seeing it now, though far from certain!
1841
Bromley
Elizabeth Parrish 50 n
Ann ditto 15 n
John ditto 10 y
Kingswinford
Thomas Parrish 20 lab n
Anne ditto 25 n
Maria ditto 2 y
Mary 3m y
1851
Bromley, Kingswinford
Thomas Parish 30 boat loader Kingswinford
Mary ditto 34 Worcs Norton
Mary ditto dau 10 Kingswinford
Ann ditto dau 8 ditto
Elizabeth ditto 1 ditto
William Kilbery stepson 10 ditto
Caroline ditto 8 ditto
Sarah ditto 4 ditto
Lingen, Herefordshire
John Parish 24 brickmaker Staffs Commonside
Sarah ditto 24 Staffs Stourbridge
Maria ditto dau 1 Staffs Bromley
Elizabeth ditto mother wid 68 visitor Staffs Stourbridge
1861
Dudley Port, Tipton
John Parish 32 labourer in colliery Worcs, Dudley
Sarah ditto 32 Staffs Brockmoor
Maria ditto 12 ditto
Harriet ditto 8 ditto
James ditto 6 Staffs Bromley
Priscilla E ditto 4 ditto
Jacob ditto 11m Staffs Tipton
Tipton
Thomas Perry 43 Staffordshire, Brierley Hill
Mary 44 Worcestershire, Evesham
Sarah 16 Stourbridge, Bromley
Elizabeth 11 ditto
Jane 8 ditto
Thomas 6 ditto
James 4 ditto
Charles 1 Staffordshire, Tipton
1871
Sedgeley
John Parish 44 brickmaker Kingswinford Staffs
Sarah ditto 44 Oldswinford Worcs
James ditto 16 Lingen Herefordshire
Pricilla ditto 14 Shobdon Herefordshire
John ditto 5 Sedgeley Staffs
Mary ditto 2 Bham Warwickshire
Sarah ditto 3m ditto
Duddeston, Birminham
Thomas Parish 53 Head Lab Brierley Hill, Staffs
Mary Parish 53 Wife Norton nr Evesham, Worcester
James Parish 15 Son Heaver up in Chain? Ind Preston, Hereford
Charles Parish 12 Son Heaver up in Iron Ind Dudley Port, Staffs
Benjamin Parish 17 Son Heaver up in Iron Ind Brierley Hill, Staffs
1881
Birminham
Birmingham
John Parish 53 labourer Staffs Commonside
Sarah ditto 53 ditto
Jacob ditto 18 Staffs, West Coseley
John ditto 15 ditto
Mary ditto 13 Warwicks Bham
Sarah ditto 10 ditto
Duddeston, Birmingham
Duddeston
James Parrish head m 23 labourer Longden Herefordshire
Margaret ditto wife 26
James ditto son 6
Thomas ditto son 2
Elizabeth ditto dau 1
Mary ditto mother w 64 Kingsnorton Worcestershire
I can't explain why the 1861 is down as Perry but I think the bithpalces and ages match reasonably, though Thomas has morphed into Benjamin... I don't know