The story
* As a German surname, variant of Steger. * Also as a German occupational surname for a foreman or mine inspector, and for someone who lived near a steep road, from Steiger (“foreman”, literally “one who ascends”) (see below). * Also as a German surname, from the placename Steige in Alsace or Steige in Baden-Württemberg, these names themselves related to the word meaning to climb or ascend.
Etymology from Wiktionary, CC BY-SA 4.0.