WHITWORTH: Baptism records for illegitimate child

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Hi
My grandfather William Eric Burn Whitworth was born 1910 in Sheffield 35 Willis Rd. His mother was Beatrice Whitworth. don't know if she died or abandoned him but he was William Eric Craven in 1923 on his education certificate and was living with Elizabeth and Walter Craven 44 Burgoyne Rd Sheffield. My question is where do I go to find out if he was baptised and how do i find out what happened to his mum
Any ideas will be helpful
Thank You
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