Did a 1956 sedan delivery come from the factory with glass all around the sides?

Yes but, it wouldn't be called sedan delivery, it would be a 2 door station wagon.

WRONG! The Sedan Delivery came without Windows in the rear on the sides. The government and possibly some private cars were special order made with Windows on the sides at the rear. They are called "windowed" delivery's, rare.

There were two models of two door station wagons, the "Handyman" and the "Nomad". The difference was the Nomad had an angled "B" pillar, more angle on the tail gate, chrome strips on the tail gate, ribs on the roof at the rear, and several other differences.

The Sedan Delivery had a one-piece rear door, that opened up. The Handyman and the Nomad had two-piece rear doors that consisted of a upper window that swung up and a tail gate that swung down.

Two additional difference were, the Sedan Delivery came with a single, bucket type driver seat. There was an option to add a passenger seat. The driver seat was adjustable, while the passenger seat was hinged at the front and folded over frontwards to allow access to the rear, but did not "slide" up and back. The second difference, the Sedan Delivery had no back seat ever. The deck went all the way from the back of the front seat to the rear door.

So Pop, Yes it was called a sedan delivery if it came with the one-piece rear door. If it had a two piece rear door, then it was a station wagon.

Steve