A song for Ms Burnett? (5)

I believe the answer is:

carol

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

This might be a double definition.

'a song' is the first definition.
(I know that carol is a type of song)

'ms burnett?' is the second definition.
'carol' can be an answer for 'burnett?' (I've seen this in another clue). I'm not certain of the 'ms' bit.

'for' is the link.

Can you help me to learn more?

(Other definitions for carol that I've seen before include "Coral (anag.)" , "Song celebrating the birth of Jesus" , "Girl's name; sing" , "Christmas ditty" , "Joyful song - woman's name" .)

I've seen this clue in the Sydney Morning Herald.

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