Yup, looks like Rubus to me. The Himalayan species has completely taken over parts of California and the Northwest, smothering riparian native habitats. When I lived in Northern CAL, they came up all over my garden, esp. beneath fenceposts and under trees where the birds leave their droppings full of seeds. Nasty, nasty plant; hard to kill once established; wonderful berries you can eat right off the plant, or use in pies and preserves. Love 'em, and hate 'em!

I would have responded sooner but I only just discovered what type of beast a lavender trumpet vine was :-) We can't grow those in my area and I was unfamiliar with the plant. I'm glad you've found another spot for the clematis because I would not recommend planting the two together. The trumpet vine, Clytostoma, is a vigorous, rapidly growing evergreen vine and IME, very vigorous vines, especially evergreen ones, do not make good companion plantings for clems. It is difficult to get the clem established close to the already established trumpet vine and its large root system. And the evergreen vine often easily overwhelms the more delicate and deciduous clem. Plus, it is very difficult to untangle and prune the clem successfully once the vines become intermingled. About the only time I would consider attempting this type of combination is if the vines were planted simultaneously and if the clem was itself a vigorous, large growing species that did not require pruning. A montana comes to mind but the bloom season would be nearly identical so still not a great choice :-)

Slowly I am going around with my chain saw cutting off access of these vines to the ground. Basically, because the vines are very thick and extend far up the trees, I cut out a chunk and sprayed both ends with the roundup. I could not find concentrated roundup anywhere so am just using the spray indicated for poison ivy etc. When I am done I am going to drill holes into the "stumps" and pour stump remover into them. I think I may be upsetting my neighbor lady. She says that she hired a professional tree person who told her that the vines are not dangerous to the tree. Her trees are also covered with the winter creeper, and the wild grape which is covering three trees on my property is hers...and she likes it and thinks it is pretty. I am the new person here and I have no desire to cause problems. I am willing to endure the stares at my trees with chunks cut out but won't push for the grape vine removal....yet.

Found this (link below). Looks alot like Hedge Bindweed and Wild Buckwheat. Because I havent seen any flowers, Im leaning toward wild buckwheat as being the closest match so far. I'll inspect the stuff later and try to get more info. If contained, it honestly doesnt look too bad. Problem is though, that if it gets up near your plants they totally overtake them. Here is a link that might be useful: vine weeds (OSU)