Try this for a possibility
JOS. PARISH
Birth: 23 SEP 1806
Christening: 26 OCT 1810 Brierley Hill, Stafford
Father: THOS. PARISH
Mother: SARAH
ANDREW PARRISH
Christening: 02 AUG 1829 Brierley Hill, Stafford
Father: JOS PARRISH
Mother: HESTER
I can't find any Andrew Parry baptisms in the Kingswinford registers or the Brierley Hill registers but I can find a Joseph Parry so the Parrish entries may be a red herring. Andrew Parrish though is the only baptism to a Joseph and Hester. No other Parrish baptisms for them. The actual baptism entry would give Andrew's father's occupation.
Or
JOSEPH PARRY
Christening: 10 NOV 1805 Kingswinford, Stafford
Father: JOSEPH PARRY
Mother: ESTHER
1841 census HO107 996/13 folio 27
Mount Pleasant Kingswinford
Joseph Parra? 35 Bricklayer
Ester Parra? 35
Andrew Parra? 12
Eliza Parra? 10
Maria Parra? 9
Sarah Parra? 6
Mary Parra? 4
Phebey Parra? 1
all born Staffordshire
1851 census HO107 2036 folio ?
Mont Pleasant Kingswinford
Joseph Parry 44 Head Married Bricklayer
Ester Parry 43 Wife Married
Ann Maria Parry 19 Daughter
Mary Ann Parry 13 Daughter
George Parry 8 Son
Isabella Parry 5 Daughter
Joseph Parry 3 Son
Ann Rebecca Parry 1 Daughter
all born Kingswinford
For this to work there would have to be a double entry on the 1861 census which is possible if Esther entered the schedule for those who usually lived there ignoring the fact Joseph was briefly working away from home.
RG9 2074 folio 104
Brickmaker Arms Mount Pleasant Kingswinford
Joseph Parry 54 Head Married Bricklayer and victualler
Esther Parry 54 Wife Married
George Parry 19 Son Bricklayer
Isabella Parry 15 Daughter
Joseph Parry 13 Son Millman in iron works
Amy R Parry 11 Daughter
all born Kingswinford
On the 1871 census Esther is lodging with her married daughter Ann Maria. She gives her status as married. The only Joseph Parry on the census born Staffordshire is the one in Durham.
1851 census HO107 2036 folio 424
Level Road Road Brierley Hill Kingswinford Staffordshire
Andrew Parrey 21 Lodger Brick setter Kingswinford Staffordshire
I can find no further census entries for an Andrew born Kingswinford
Coverage of the Brierley Hill Registers on the IGI 1776-1864 for baptisms. No coverage of marriages
Kingswinford baptisms 1800-1831 marriages 1704-1837
Kingswinford and St Mary's chaplry baptisms 1832-1857
http://freepages.genealogy.rootsweb.ancestry.com/~hughwallis/ANNE MARIA PARRY
Christening: 08 APR 1832 Brierley Hill, Stafford
Father: JOS PARRY
Mother: HESTER
ELIZABETH PARRY
Christening: 02 FEB 1834 Brierley Hill, Stafford
Father: JOSEPH PARRY
Mother: ESTHER
SARAH PARRY
Christening: 20 SEP 1835 Brierley Hill, Stafford
Father: JOSEPH PARRY
Mother: ESTHER
MARY ANN PERRY
Christening: 24 DEC 1837 Brierley Hill, Stafford
Father: JOSEPH PERRY
Mother: ESTHER
Regards
Valda