Here's what my mum used to sing when we were kids:

Go to sleep my baby,
Close your sleepy eyes.
Angels are above you,
Looking at you dearie from the skies.
Great big moon keeps shining,
Stars begin to peep.
Time for little sleepy babies
To go to sleep.

X: 228
T:Go To Sleep, My Baby
M:3/4
L:1/8
S:from memory of my mother's singing ca 1950
K:F
c4 d2|c4 A2|d2 f4-|f4 z2|
c4 d2|c4 A2|G6- |G4 z2|
c4 d2|c4 d2|e2 g4-|g4 z2|
g3a gf|e3f ed|c6- |c4 z2|
c4 d2|c4 A2|d2 f4-|f4 z2|
c4 d2|c4 A2|G6- |G4 z2|
F4 G2|A4 F2|B4 c2 |d2 c2 B2|
d6 |E6 |F6- |F4 z2||

WassaiL! V