The text of "The Sign of the Bonny Blue Bell" which is related to the "I'm going to be married on Sunday" and "Sixteen on Sunday" appears to be also related in a round about way to "Fly Around My Pretty Little Miss". In that thread a version by Rich R has the "bonnie blue" lyric in it.

The subject is related and appears in Dr. Joyce's- Ancient Irish Music No. 17. The words of "The Sign of the Bonny Blue Bell" appear in a braod side circa 1850.