Who is the author of the poem and song "Bombed Last Night"?
The first paragraph goes like this:
Bombed last night, gassed the night before,
Going to get gassed tonight if we never get gassed anymore
When we're gassed we're sick as can be,
'Cos phosgene and mustard gas is too much for me
The song (lyrics) to which you refer come from a musical play called Oh! What a Lovely War! It was written in the 1960s and, as its title might suggest, it a satire condemning World War I. Specifically, the book (lyrics) of this play were written by Charles Chilton, who wrote lyrics to parody the popular and recognizable songs of the day, satirizing them to reflect disdain for the war.
The lyrics which you mention come from the song "Gassed Last Night." Verse one begins with the lines:
Gassed last night and gassed the night before,
Going to get gassed tonight if we never get gassed any more.
Verse two begins this way:
Bombed last night and bombed the night before,
Going to get bombed tonight if we never get bombed any more.
I've included two reference sites for further study. The eNotes site has an excellent summary of the work; the other is simply the lyrics (book) from the play.