taper vs vigil candle

taper and vigil candle both are nouns.

Word	Noun	Adjective	Verb	Adverb
taper	Yes	No	Yes	No
vigil candle	Yes	No	No	No

As nouns, vigil candle is a hyponym of taper; that is, vigil candle is a word with a more specific, narrower meaning than taper:

Other hyponyms of taper include chandlery, dip, rush candle, rushlight, vigil light.

taper (noun)	vigil candle (noun)
stick of wax with a wick in the middle	a candle lighted by a worshiper in a church
a loosely woven cord (in a candle or oil lamp) that draws fuel by capillary action up into the flame
the property possessed by a shape that narrows toward a point (as a wedge or cone)
a convex shape that narrows toward a point

taper (verb)	vigil candle (verb)
give a point to
diminish gradually