Regarding the 'family history book', do you have any other information about this book? I am pretty sure the same mentioned man 'Arthur McArthur' is my paternal great-great grandfather.
Arthur's son -> Xavier James McArthur (aka Frances James McArthur or XJ McArthur) had a son named Gordon McArthur in 1915. Gordon then had a son in 1945 named Collin McArthur, my father.