Definitely hops. As to the variety, it's anybodies guess. Bring some home and brew with them. Use them as flavor and aroma only, then base your guess on how they "display" in the beer. A mature cone is one that is starting to feel a light bit papery and when squished it doesn't immediately spring back to shape.
As for growing, you'd want to either cut some of the crown (best) or use a rhizome. The crown option would be best since it will take off much quicker (saves a couple years).
Awesome find!