A basin stand is a piece of furniture

Furniture

Furniture is the mass noun for the movable objects intended to support various human activities such as seating and sleeping in beds, to hold objects at a convenient height for work using horizontal surfaces above the ground, or to store things...

 consisting of a small
table or cabinet, usually supported on three or four legs, and most commonly
made of mahogany

Mahogany

The name mahogany is used when referring to numerous varieties of dark-colored hardwood. It is a native American word originally used for the wood of the species Swietenia mahagoni, known as West Indian or Cuban mahogany....

, walnut

Walnut

Juglans is a plant genus of the family Juglandaceae, the seeds of which are known as walnuts. They are deciduous trees, 10–40 meters tall , with pinnate leaves 200–900 millimetres long , with 5–25 leaflets; the shoots have chambered pith, a character shared with the wingnuts , but not the hickories...

, or rosewood

Rosewood

Rosewood refers to any of a number of richly hued timbers, often brownish with darker veining, but found in many different hues. All rosewoods are strong and heavy, taking an excellent polish, being suitable for guitars, marimbas, turnery , handles, furniture, luxury flooring, etc.In general,...

, and made for holding a wash basin and water pitcher.
The smaller varieties were used for rose-water ablutions, or
for hair-powdering. The larger ones, which
possessed receptacles for soap-dishes, were the predecessors of the
modern bathroom wash basin, or sink. Both varieties, often of very
elegant form, were in extensive use throughout a large part of
the 18th century and early-19th century, eventually disappearing with the advent of modern indoor plumbing.