St Josephs - Nechells, top of Thimble Mill lane / Long Acre, just by Wing Yip was opened C1850 as a Roman Catholic cemetery. Later the cahpel was extended to make it a parish church - still a fair sized cemetery - worth googling to see their website.
many R.C.' wfrom Hockley/Newtown would be buried here, especially before B'ham Council open it's own cemetey at Witton.
As has been said - nowadays, all council cemeteries have R.C. sections.
Also some may well be buried in Key Hill - first cemetery in B'ham We have Irish families in there who were R.C.'s.
We have 3 crowes - No patrick though
CROWE Edmund 1948
I 589 58434 1 MI
Rose Catherine 1874
L 24 (Vault) 23154
William Thomas 1890
H 8 (Vault) 35182
In Warstone Lane, we have
CROWE Florence Louisa 1951
J 2335 99831 6
Frank 1894 P 1932 47518
Juliet M. 1886 K 150 36116 9
Keith William 1956 J 2 102956
Mary Ann 1906 K 150 62102 9
Matthew R 1915 K 150 81168 9
Philip J. 1887 I 10 (Vault) 37830
William R H 1913 K 150 70419 9
Hope this helps
Brian