Crossword Genius

Bird caught on Cornish river to the north (6)

Ross

I believe the answer is:

falcon

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

'bird' is the definition.
(I know that falcon is a type of bird of prey)

'caught on cornish river to the north' is the wordplay.
I cannot quite understand how this works, but
'caught' could be 'c' (cricket abbreviation) and 'c' is found within the answer.
'on' is present in the answer.
'river' could be 'fal' (River Fal) and 'fal' is present in the answer.
No letters remain.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for falcon that I've seen before include "high-flyer" , "Clan of (anag) - raptor" , "Fast bird of prey" , "Diving bird of prey" , "Hunting bird like peregrine or merlin" .)

I've seen this clue in The Sun.
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