mule chestnoun 
                                                            (from various sources) 
low chest with drawers, mounted on a low frame.
or
A hybrid form of chest, intermediate between a simple chest and a chest of drawers
or
A chest commonly wider than it is high and deep. A mule chest has drawers in its base and a hinged top, beneath which there are either two short drawers or one long one.
or
1 – Although strictly speaking a horse/donkey hybrid, the term ‘mule’ is commonly used to designate many hybrids. The term mule chest arose because it is a hybrid with a combination of drawers and a top-flap compartment.
2 – This design of chest was used by peddlers to transport their goods on a mule. The chests were often used in pairs, one on each side of the mule, and the drawers were used for smaller items, while the trunks held cloth and larger items. The peddler could easily gain access to goods in the drawers without unloading the mule, and could thus accost potential customers even when on the move.
There are as many types of mule chests as there are definitions/explanations. Take these two examples from a recent auction.
First, the fancy:

George III Oak Mule Chest

P1020054

This lot has sold for $420.

Description: Late 18th century, two-part form, top with hinged lid and applied molded edge, interior with two drawers and secret compartment, upper cabinet with two lipped drawers, lower chest with two cock beaded drawers, on straight bracket feet.

Size: 45 x 44 x 22 in.

Condition: Shrinkage cracks and staining to lid; no key; missing locks; later pulls; shrinkage crack to right side of lower case and small chip near waist drawer.

Kinda a mule chest on chest with bracket feet. The upper three drawers are just applied molding and pulls:

P1020055

Inside, space, not drawers. There are drawers in the till, but they don’t count.

The drawers in the till were a bit stiff so I did not pursue the search for the hidden compartment as aggressively as I might have.

P1020052

The drawers are dovetailed so it is truly a quality piece.

Then, there is the primitve nailed version:

New England Painted Mule Chest

P1020078

This lot has sold for $250.

Description19th century, white pine, red wash, remnants of old blue paint to molded lid, two lipped drawers, raised on bootjack feet.

Size: 37 x 37 x 18.5 in.

Condition: Later red wash; top missing hinges; later foot facing to front.

I would show you the inside but there are no hinges and the lid kept falling off. No till. I can show you this ingenious repair of a sort:

P1020148

Rodent damage a notch for a power cord? You decide.

And the back:

P1020145

37″ covered by two boards. And the patch.

Notice, as I have pointed out before, the back is unpainted. They really didn’t care what the wall saw. Of course, it could have been dipped, stripped and repainted.

P1020080

The pulls seem original but I’m no expert.

P1020079

And, of course, the drawers are dovetailed.