The baptisms for both of the Alberts are on Lancs OPC.
Albert Cook born 3 December 1897 20 Trafford Stree,t parents James , a Street Musician and Eliza was baptised at St Bartholomew, Salford
Albert Cook born 8 December 1897 Primrose Hill, parents Thomas Cook and Mary nee McGrane was baptised 26 December 1897 was baptised at Mother of God and St James in Pendleton.
The second baptism looks like it was Roman Catholic and as the date of birth is wrong I would discount that one and order the one with mother's maiden name Jarvis.
Emeltom