It's ironic that the "whale in a bikini" in the song is named Mrs. Pellegrini. That was 1964.
Today, there's a swimmer, Federica Pellegrini (born 5 August 1988), who's a world record holder, and nobody's whale!
She's really quite lovely to look at.
I don't expect there's any connection, but, as I said, it's an ironic coincidence.