All that can presently (March 2021) be gleaned about Arthur Alexander
from sheet music covers and by internet searching is that he has been featured on just a single works published in 1898.
Of interest is We Don't Want Him Down Our Way
(1898) music by Fred Gilbert
, words by Charles Coborn
and published by Francis, Day & Hunter
, London W.C.2, England.
Surfers are welcome to contribute any further information about this performer.