When I looked at this address,Cock St. it didn't seem right & on looking at my 1860's street index I found it doesn't exist.
I think it shoud be Cox St.
The other info. of census & addresses of the 2 girls marriages puts all 4 known addresses in the same area of NW B'ham.
Cox St. address on the christening PR (1830)
Pope St. is where Richard was living with G/son also Thomas was living there.(1841)
Livery St. address on Keren's marriage cert. (1845)
Tower St. on Rachel's marriage cert. (1850)
I known this is an old thread, but, I thought I would add to it for clarity.
Cox Street, as it is known today, is off St Paul's Square and links it to Livery Street. It is certainly where Thomas and Jemima Perks along with their children were living in 1830.
In 1810 John Kempson surveyed and produced a map for the Commissioners of The Street Act showing the Town and Parish of Birmingham. The map shows the road between St Paul's Square and Livery Street as Cock Street. The 1834 Map of Birmingham, drawn and engraved by John Dowler, also shows the road as Cock Street.
Although it didn't exist in the 1860s it certainly did when the Parish Register entries for the baptisms of Jemima's children were made in 1830.
Source: Birmingham A History in Maps. Author: Paul Leslie Line. First published 2009.
The History Press, The Mill, Brimscombe Port, Stroud, Gloucestershire, GL5 2QG