After some digging, I found it
It is the The World on Mercators Projection, from The Cyclopaedia or Universal Dictionary of Arts, Sciences, and Literature by Abraham Rees, 1820. This is the best quality photo I could find of it. It can be found at the Library of the University of Texas, at Austin.
EDIT: I found a way higher quality copy of the map
HERE.
(also is that a shutterstock watermark on the compass rose?)
