Amazon calls it Mistress Moore Married to a Sailor, and it's available for download (for a fee). Tune sounds very close to "Bobby Shaftoe." Here are the lyrics, as I hear them - same as above, but with a nonsense chorus.
-Joe-

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MISTRESS MOORE MARRIED TO A SAILOR

Mistress Moore lives on the shore
She has daughters three and four
Eldest one is twenty-four
Married to a sailor

CHORUS
Baloo, Baloo, Baloo, Bee,
Baloo, Baloo, Baloo, Bee,
Baloo, Baloo, Baloo, Bee,
Married to a sailor

When the sailor comes ashore
How they rattle
How they roar
Happy then is Mistress Moore
Married to a sailor
CHORUS

Mistress Moore lives on the shore
She has daughters three and four
Eldest one is twenty-four
Married to a sailor

CHORUS

Artist: Studio Group
Album title: Children's Songs of Other Lands
Label: Crown Records