Just stumbled on this page. Doubt if anyone will read my post, so many months late, but what the heck.
This is the lullaby my mom sang to me. The words she sang were:

Baby owlet, purple owlet, crying as the stars go by. (x2)
Oh won't you lend me your swift pinions
won't you lend me your swift pinions (x2)
that I may, fly to my love.
Tacker a coo coo coo (x3)
Baby owlet, poor little owlet,
you are tired, from crying so.