Spoke with family member her mum was born Catholic in Levenshulme so thinking Karen Cook was born there too
Not necessarily. Some unmarried women gave birth away from their home area. Have you seen Karen's birth certificate?
Just been told the Adienne Cok lived at Harrison Street I assume that is in Levenshulme and St Peter Church is near by... is there anyone who could look for a baptism at this church for Karen Ann Cook in Jan to June 1957 hopefully a fathers name maybe listed
List of churches in Levenshulme + locations of registers, where known.
https://www.genuki.org.uk/big/eng/LAN/LevenshulmeAs heywood said, St. Peter's isn't R.C. The Catholic church in Levenshulme is St. Mary. Click on name of church to see which registers have been archived. Baptism registers 1947-1962 are at Lancashire Archives.
Selecting tab "nearby churches" brings up a map with location markers for churches in a 3 mile radius. (Distance can be adjusted.) Markers are colour-coded according to denomination, R.C. is yellow. Click on a marker to see name of a church and perhaps foundation year. Map can be enlarged.
Added.
St. Mary and the Angels and St. Clare R.C. Church , Levenshulme
www.lan-opc.org.uk/Manchester/Levenshulme/index.htmlThe church has been at 3 locations, present one since 1975.