Crossword Genius

I’m in West Lothian, tho’ willing to move (10)

Ross

I believe the answer is:

linlithgow

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'i'm in west lothian' is the definition.
I can't judge whether this defines the answer.

'tho' willing to move' is the wordplay.
'to move' indicates anagramming the letters.
'tho'+'willing'='thowilling'
'thowilling' is an anagram of 'LINLITHGOW'.

Can you help me to learn more?

(Another definition for linlithgow that I've seen is " Scottish town".)

I've seen this clue in The Times.
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