The photo by WayneB may or may not be the puzzle car. I will award him the point, as I believe the puzzle photo is a 1915 Eagle-Macomber. The photo of the Los Angeles to Chicago car, is certainly an Eagle-Macomber, as described in the Chicago Evening American on December 2, 1916:
A stubby, sturdy-looking yellow car pulled up before 307 West Madison Street, and two browned men stepped out into a welcoming crowd.
They were W. G. Macomber, inventor of a rotary engine said to be the last word in automobile “kultur,” and his mechanician, Arthur Lee. They had just finished a cross-country trip of 2,600 miles from Los Angeles, in one of the new Eagle cars, which own the exclusive right to this new Macomber rotary engine. The car pulled through with scarcely any mishap and Macomber made the triumphant declaration of its eighteen-horse power capacity with a 3,000 pound load.
Aren't rotary engines great? I've known about the Julian for a long time, I just learned of the Eagle-Macomber and Adams-Farwell this week.