Here's all the words. I won't be able to help you with the melody:

Zoom, Zoom, cuddle and croon, Down by the wrinkling sea,
The moon man casts with a silvery net, fashioned from moonbeams three,
And some folks say when the net lies long, and the midnight hour is ripe,
The moon man fishes for some old song that fell from a sailor's pipe.

CHO: Well the waves roll out and the waves roll in,
And the nodding night winds blow,
But why the moon man fishes the sea,
Only the moon man knows.

Zoom, zoom, cuddle and croon, down by the wrinkling sea,
The moon casts with his silvery net, fashioned from moonbeams three,
And some folks say when the net lies long, and no one else is nigh,
The moon man fishes for the baby stars that fall from the slippery sky.

Zoom, zoom, cuddle and croon, down by the wrinkling sea,
The moon man casts with his silvery net, fashioned from moonbeams three,
And some folks say when the net lies long, and no one else is there,
The moon man fishes for the silvery comb that falls from a mermaid's hair.

This was a signature song of Walt Robertson, THE WANDER. B. Buck Ritchie was a radio, stage character in the Seattle area in the 1940 - 50's. I believe he adapted this song from a Eugene fields poem. CHEERS