The Yale was the low-lying lands of the Shire's Eastfarthing that lay along the northern side of the long road from Stock westwards to Tuckborough. This seems to have been a sparsely populated area, and in fact the map of the Shire in The Lord of the Rings marks only a single building here.
The meaning of the Yale's name is obscure. 'Yale' is of course a well known personal and placename in English, but that name seems to have its origins in the Welsh language (making it quite unsuitable for the Shire). Further, it means 'fertile upland', whereas we know that the Shire's Yale was a lowland region.