Unless the puzzle car was rebodied later (and the photograph doesn't look like it), the only American coachbuilder, having a foreign motorcar name, that fits the approx. 1912 time frame, that I can think of, would be Healey & Company of New York City. They existed much prior to the Donald Healey Motor Company, but they bore the same Healey name, and the dressed expensive foreign and domestic motorcars, although I have no reference that says they ever did an Austro-Daimler.