Here's what we sang when I was a kid (learned from my Mom, who grew up in New York city in the twenties):

Chanukah, oh Chanukah, a joyous celebration
The happiest of holidays with joy ever-ringing
Every night we light the candles around
Hot and tasty pancakes are to be found.

How brightly the candles
They burn with such brightness each night
Sing for the wonders, the God-given wonders
And come let us dance every night
Sing for the wonders, the God-given wonders
And come let us dance every night!