Live Stone The Crows love song from the 60s (2,2,4)

'song from the 60s' is the definition.
I know nothing about this answer so I can't judge whether it can be defined by this definition.

'live stone the crows love' is the wordplay.
I cannot quite understand how this works, but
'live' could be 'be' (synonyms) and 'be' is located in the answer.
'love' could be 'baby' (I've seen this before) and 'baby' is present in the answer.
The remaining letters 'my' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?