That first picture looks like dewberry vine to me. It used to be a problem in some of our cotton fields especially when picking and they would stop the doors up on the old pickers. Then you would have to climb up under the picker crawling on your hands and knees to get to the back doors to clean those sticker vines out that was all dangled up in the cotton that was plugging the door. The second picture does look similar to spurge, we used to always call it milkweed vine. The spurge continually comes up in the gravel around our shop and it is a never ending summer job keeping it sprayed to keep it from taking over. Every time you get any rain at all another flush comes up.