Prosecute little girl (3)

I believe the answer is:

sue

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This could be a double definition.

'prosecute little' is the first definition.
'sue' can be an answer for 'prosecute' (I've seen this before). I am unsure of the 'little' bit.

'girl' is the second definition.
(girl's name)

Can you help me to learn more?

(Other definitions for sue that I've seen before include "Entreat; girl's name (dim.)" , "Bring a legal action" , "Begin legal proceedings against" , "Little Susan" , "Make a legal claim" .)

I've seen this clue in The Times.

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