I found a birth record for Dora Brooks b.1920 in West Ham (no baptism yet, which would prove the parents. Have checked woodford, leyton, West Ham so far).
Her mother's name was Hawking, as opposed to Hawkins?
Did the previous reply have Hawkins as mother?
I also found a family tree that had Victor Brooks and Edith Hawking as parents. This Dora was born 17th July 1920.
I'll keep looking 😊