TexasCHLforum.com

To carry the math of land measure a little further, based on the most recent post above:

A league = 4,428.4 acres.
640 acres = 1 square mile.
4428.4 acres divided by 640 acres = 6.91375 square miles.

So if a man was granted a league, he had almost 7 square miles. That's a nice chunk of property with which to start a new life.

SIA

https://en.wikipedia.org/wiki/League_(unit)

The above link gives the various definitions for "league", which is generally a measure of "length = 3 miles."
So if the gentleman got a league of land, the question arises: "3 miles long, but how wide?".

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https://tshaonline.org/handbook/online/articles/cfd01

The above link describes what a "dog-run house" was.

SIA