Making a bed in a hotel as a cleaning maid consists of stripping off the linens. The blanket  & cover are not washed unless really bad. The linens are picked up for the laundry. There are two flat sheets. The first flat sheet is spread across the bed and tucked tightly using a special fold so it won't undo itself. The send flat sheet is spread out, then the blanket.  Folding the top edge over the blanket, both are tuck between the mattress and spring board. Pillows  are put into clean pillow sacks and the top cover is laid over and tucked under the pillows. Some motels put a mint chocolate on the pillow but most don't. A real fancy hotel would have a flat sheet on top of the blanket as well as below it because that isn't washed everyday. Hotel beds can harbor bed bugs and fleas in the mattress itself. 
Question: Did they tuck in the corners?
Yes they did.