as much as a cote (animal shelter) can hold; the quantity or number of animals that fit in one shelter.
From 'cote' (a shelter for animals) plus the suffix '-ful' (meaning the capacity or amount that fills something). It's a measurement word like 'handful' or 'spoonful'.
A 'coteful' would vary wildly depending on the cote's size and the animal type—a dove-coteful might be dozens, while a shepherd's cote for lambs could hold far fewer. It's a wonderfully imprecise medieval measurement!
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