well the different name for matchsticks /sulphursticks is also the name of the band which also ends in ......sticks.
And the first guess you did already had two words (of the three) correct, and i'm pretty sure you don't need the other word to find it)plus your guess also has a word that's in the chorus (and the title of the song also returns in the chorus) (on which i based my drawing mostly) and tree wasn't the correct word
Hope this helps a bit :p