Bedsite vs Bedside - What's the difference?

As nouns the difference between bedsite and bedside

is that bedsite is a recess in a room for a bed while bedside is to the side of one's bed.

(en noun)

A recess in a room for a bed.

Of the three bedrooms, two have fireplaces, and all are of fair size, with windows and bedsite well placed. — Quart. Rev.

(zoology) The spot where an animal sleeps.

(Webster 1913)

(en noun)

To the side of one's bed