mid-14c., "by chance or accident;" late 14c., "by good fortune, luckily," from happy + -ly (2). Sense of "in pleasant circumstances, with mental pleasure and contentment" is from 1510s. Happily ever after recorded by 1825.
they shouted happily
happily he was not injured
haply
happen
happening
happenstance
happify
happily
happiness
-happy
happy
happy-go-lucky
Hapsburg