yes your totaly right about scotish origin of galloglass, especialy in early period 13/14 century, but later only constables were hired from hebrides/scotland , most soldiers were native irish men recruited from gaelic dominions on Island
-about their true name
Scot (in england)
Gallowglass/galloglass (name used later)
Galloglaich
Gall Óglaich (galelic) , means foreign warrior
Galeglasios (latin)
Spar (name of axe they use , often used for naming an unit of 80-120 galloglass)
Most galloglaich were fighting with these axes, becouse of high tradition and brutal effectivity on battlefield , ofc some goes to battle with two handed sword later known as claymore, there was known earlier form of two handed sword in gaelic land but not that much popular as claymore in later period, even wallace had such sword (not claymore as hollywood shows in bravehearth movie )Click to view content: