According to “The Surnames of Scotland; Their Origin, Meaning, and History by George F. Black PhD, published by the New York Public Library in 1946, the name Living has a most certainly Germanic origin.
“A Saxon (hence German) named Leving or Leuing appears to have settled in Scotland under David I (b. 1080, d.1153 and reigning around 1140). He certainly possessed a grant of the West Lothian lands.”
All the variations of the Living name such as Livingston, Livingstone (these 2 actually come from Living's Town) Livingood, etc., come from this root.
This root name exists in various forms in Pennsylvania among the German settlers there. This item goes on much longer, but that is the gist of it.
Carole Living