meaning of "Schwarzenegger":

What pdq writes is not the only possibility.
The name also could be a spelling variant of the more common family name Schwarzenecker and that would be most likely a family name that started as a place name:
(1) a person from Schwarzeneck (some places in Germany and Austria have that name) or
(2) a person from a schwarzen Eck (black corner); in this case "schwarz" would most likely refer to a wood from coniferous trees (like in Schwarzwald/black forest) and the person would come from a corner in/at a coniferous forest.

Mind, that's only another idea, pdq might still be right.

Wolfgang