Oddly, she bred pigs at first in quiet part of London (9,4)

I believe the answer is:

shepherd's bush

I'm a little stuck... Click here to teach me more about this clue!

'london' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'oddly she bred pigs at first in quiet' is the wordplay.
'oddly' indicates anagramming the letters.
'at first' says to take the initial letters.
'in' indicates putting letters inside.
'quiet' becomes 'shush' (I've seen this in another clue).
The initial letter of 'pigs' is 'p'.
'she'+'bred'+'p'='shebredp'
'shebredp' anagrammed gives 'epherdsb'.
'epherdsb' going within 'shush' is 'SHEPHERDS BUSH'.

'part of' acts as a link.

Can you help me to learn more?

(Another definition for shepherd's bush that I've seen is " West London district".)

I've seen this clue in The Times.

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