i Register
In some senses, tath is marked as archaic, UK, historical. Watch for register when choosing this word.
noun
The dung of livestock left on a field to serve as manure or fertiliser.
after the sheep have trod out a great quantity of stones, in feeding off turnips, to have them raked up clean, which I have known some farmers do, nor can the rake be used without taking some of the tathe, or dung, with them .
A piece of ground dunged by livestock.
Strong grass growing around the dung of kine.
verb
To manure (land) by pasturing cattle on it, or causing them to lie upon it.
I would have no more ploughed than has been tathed the preceding year