Nowadays Szufnarowa has it own parish, but before 1950 and further into past, the village belonged to St. Ann's parish in Niewodna ( here is Niewodna parish website: http://www.niewodna.parafia.info.pl/?p=main&what=16
The most of the records from this parish is located in Rzeszow diocesan archive or parish itself.
I'm sure I could help you but I would just need to know what are the particular information you would like to obtain.
my email address is: firstname.lastname@example.org
I look forward to hearing from you,