Below are several photos of a 411E state set box. The original train consist was 408E-412-413-414-416. I've been told that this box came with a State Green 408E and Green State cars, and that the box was sold separately by a collector, and its present owner is trying to reconnect the box with the present owner of the original set of trains.

The box is dated 1932 (by the box manufacturer), but it has 1933 style Lionel tape. 1933 was the last year Outfit 411E was cataloged, but this was likely a Department Store Special (DSS) so who knows. The box has no color indication. Like mine, the original State Green 408E with this set has no indication of being a factory repaint. It was originally painted State Green.