Per Wikipedia:
"Tunner was the fourth of five children of immigrants from Leoben, Austria. His ancestors Peter Tunner the Elder (1786-1844) and Peter Tunner (1809-1897) were metallurgists, mining specialists and montanists who co-founded Austria's famous "Bergakademie" (Mining Academy) at Leoben. His father was an engineer as well and settled in Roselle, New Jersey, where Tunner was raised."
A FamilySearch tree says his parents were Joseph Tunner b. 1869 and Fanny Schalitz b. 1875, but the tree I'm looking at has no sources.