Both Plant And Human DNA
Aside from what they learned from the human DNA, the plant DNA offered a diverse lineage too. It looks like there is DNA from all over the world on it. Among other things, the shroud came with samples of European spruce trees, Mediterranean clovers, East Asian plum trees, and North American trees.
It Was Close Enough
In any case, the most prominent ones came from certain regions of the Caucasus and the Middle East. That might be an indication of where its origins. As a matter of fact, it is not a stretch to say that it came from somewhere near the alleged tomb of the Messiah himself.