Star-of-Bethlehem: Ornithogalum umbellatum yup!

There are several types of Rubus (genus with blackberry, raspberry, thimbleberry) with running vines such as Rubus flagellaris AKA dewberry.

Aquilegia, aka Columbine

Thank you! Drat, that's bad news. We took down a shrub-form multiflora that was easily 6 feet across, late last year. I should have recognized it. I didn't realize it could also double as a climber. The first one is proving resistant to permanent destruction. We cut it down last fall and painted all the stumps, but it still tried to come back this spring. We are weed-whacking it and if it keeps coming back it will be painted again in the fall. The climbing one will be very difficult to eradicate. The entire area is overgrown, and I'm not sure where it is rooted in the ground. Plus the thorns make it difficult to work around. That part of the yard is a mess. Escaped privet hedge (which is positively enormous), the roses, tree of heaven saplings, native sumac, Virginia creeper, some other assorted saplings, garlic mustard, a wild grape that we also took down last year. About the only pretty thing growing is the cinquefoil, but now that is invading my lawn so it has to go too. One day I hope to cut everything down and replace it with some native shrubs. But it looks like nothing there can actually stay.