F.M. Fagan 
Last updated: 22.06.17
All that can presently (August 2015) be gleaned about by internet searching is that F.M. Fagan is the one-off composer of That Peculiar Rag (1910) published by Ted Snyder Music Co., New York, USA.
Surfers are welcome to contribute information about this composer.

Further sheet music at DBE: ON HOLD