The top of the left-hand section folds back, and the rails for the clothes-hangers telescope outwards:
In the 1953 Ashdown's hardware catalogue, it is referred to as a "taxi wardrobe trunk":
There is very little information available about this company. It seems that one John Eveleigh was born in Hereford, England in 1765, moving to Ireland where all of his children were born before emigrating to Montreal, Quebec. One of his descendants, Joseph, remained in this city and founded the luggage company in 1870. In the days of lengthy travel by steamship and rail, there was obviously a huge demand for traveler's trunks. The one pictured above was clearly designed as a traveling wardrobe. As the automobile and then the aircraft gained ascendancy as a mode of travel, luggage needs changed and perhaps Eveleigh did not adapt to this. The company was bought out in 1957 by the J.E. Lortie Company, also of Montreal, which had begun in 1892 as a saddlery business, eventually turning to the manufacture of leather pole-climbing belts and straps needed by workers erecting the the rapidly expanding electricity and telegraph lines. The Lortie company went on to manufacture canvas goods such as dunnage bags and army webbing during World War II, to which they added the Eveleigh product line when they acquired that company. Today, Lortie is known as Jelco, and specializes in fall-protection equipment.