Twine woven Child's chair?

Here is a twine-type weaving material from a set of children's chairs, quite old. This was woven in a 4x4 strand basket weave top and bottom. Looks to me like bailing twine from the farm. Any other ideas?

Dimensionally, it is 3/16 - 1/4". I'll be checking the farm supply stores for something close. It seems a tad heavy for what I am remembering of bailing twine from my farm days as a kid.