  The MEarth survey is a search for small rocky planets around the smallest,
nearest stars to the Sun as identified by high proper motion with red colors.
We augmented our planetary search time series with lower cadence astrometric
imaging and obtained two million images of approximately 1800 stars suspected
to be mid-to-late M dwarfs. We fit an astrometric model to MEarth's images for
1507 stars and obtained trigonometric distance measurements to each star with
an average precision of 5 milliarcseconds. Our measurements, combined with the
2MASS photometry, allowed us to obtain an absolute K_s magnitude for each star.
In turn, this allows us to better estimate the stellar parameters than those
obtained with photometric estimates alone and to better prioritize the targets
chosen to monitor at high cadence for planetary transits. The MEarth sample is
mostly complete out to a distance of 25 parsecs for stars of type M5.5V and
earlier, and mostly complete for later type stars out to 20 parsecs. We find
eight stars that are within ten parsecs of the Sun for which there did not
exist a published trigonometric parallax distance estimate. We release with
this work a catalog of the trigonometric parallax measurements for 1,507
mid-to-late M-dwarfs, as well as new estimates of their masses and radii.
