It's 'kind' in Colum's poem and in every example of the older song he based it on that I've seen containing the line: 'kine' seems to be a modern (and rather over-romantic) Revival mis-hearing, though now very common among people who aren't familiar with the usage and don't understand the meaning of 'kind' in this context. This is explained in most of the other discussions here, I think.

Unfortunately, the thread title seems to invite people to list their favourite recorded arrangements of Colum's song (though the actual qyuestion does not), which is one reason why the older threads on it are so hard to follow. It has been recorded by hundreds of people and is sung, I expect, by thousands. Properly, of course, 'She Moved Through the Fair' should be considered a 'version' -in that it's a 20th century literary re-write- of 'Next Market Day' (and other titles), not the other way around.