There seems to be a large family of related songs. See also:

GALWAY CITY
DUBLIN CITY
SPANISH LADY (2)
WHEEL OF FORTUNE

In our Digital Tradition database.

Also if you search for "combing her hair by candle light" or even "washing her feet by candle light" you will find lots of variants.

Usually "the" is omitted before "candle light" and sometimes "candlelight" is one word. Such differences can be crucial when using a search engine.