Giving a Victorian female character a boyish nickname is a bit cliche. I only mention that because you said that you wanted to avoid cliche. I think it boyish nicknames for girls were a bit more common in the 1920s.
If her parents think of themselves as proper and correct, they're not going to give her a name that's showy or unusual.
Some suggestions:
Elizabeth Catherine Charlotte Caroline Margaret Helena Eleanor Alice Victoria Anne Mary Lilian Julia Jane Florence
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If her parents think of themselves as proper and correct, they're not going to give her a name that's showy or unusual.
Some suggestions:
Elizabeth
Catherine
Charlotte
Caroline
Margaret
Helena
Eleanor
Alice
Victoria
Anne
Mary
Lilian
Julia
Jane
Florence