Strange case of British bird (3,3)

I believe the answer is:

sea cob

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'bird' is the definition.
I know nothing about this answer so I can't judge whether it can be defined by this definition.

'strange case of british' is the wordplay.
'strange' indicates anagramming the letters.
'of' becomes 'o''.
'british' becomes 'b' (abbreviation e.g. in 'BBC').
'case' is an anagram of 'seac'.
'seac'+'o'+'b'='SEA-COB'

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I've seen this clue in The Times.

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