I seem to have thrown away the copy which included this bit of Nursery Times but so far I have worked out with your help:
"THE BABY WHO FEATURES IN THE SUCCESSFUL ROCKING ANTHEM ROCK A BYE BABY IS SUING THE ??????E?? OF THE HIT LULLABY"
(PRODUCERS would fit).
It would help if I had solved 51A, Floor has a second turning, no shit! (8)
63a What Trump intends to do about 2024 presidency (??? FOR IT)
AND
68a Crap subject for parliamentary debate? (6)