To Grandma Liz - That song is called The Indian Lullaby

Rockabye my lttile owlet
In thy mossy swaying nest
With thy little woodland brothers
Close thine eyes and take thy rest
TooHoo or TooWoo (4 times)

Hushabye my lttile owlet
Many voices sing to thee
Hushabye the water whispers
Hush replies the tall pine tree
TooWoo (4 times)

Sleep oh sleep my little owlet
Through our tent the moon shines bright
Like a great eye it will watch thee
Sleep til comes the morning light...
TooWoo (4 times)

I never learned the verse on Weep no more but I like it.