Made in Chicago in 1910 (mostly).

Air cooled. Similar to the Burtray and Walnut.

The Water Sprite is a single cylinder outboard sold by the Burtray Engine Works of Chicago, Illinois. I believe it was a badge motor made by the Walnut Machine and Brass Foundry Company of Toledo. I believe it was previously sold under the name Burtray.

While I have found many ads by the Burtray Engine Works selling the Water Sprites, I have none of Burtray selling the Burtray! I think it is possible the company decided that Burtray wasn't a name that helped their motor sell. In the early 1900s many folks still were not comfortable with the new technology of internal combustion engines, so a more fun name that projected a pleasant and non-threatening image might have been a good idea.
Note this 1910 ad mentions the Burtray Engine Works, while the similar ad below does not.