Dr. Richard Halse of the OSU Herbarium identified the top two pictures as bittersweet nightshade (Solanum dulcamara), and the bottom picture, with variegated leaves, as English ivy (Hedera helix) . English ivy can cause allergies.  The entire nightshade plant is toxic.  The toxic element, solanine, is the same element that causes problems in green potatoes.  Signs of toxicity include:  abdominal pain, headache, tiredness, flushing and irritation of the skin and mucous membranes.  The plant can cause an allergic response as well.

English ivy causes enormous problems in the Pacific Northwest.  Forest Park in Portland is being overrun with it.  Birds eat the berries and scatter the seeds miles from the main infestation.  Use gloves to pull small plants, and/or use herbicides.  Trichlopyr (brush killer) or glysophate (Round-up) both will work.    Control requires vigilance as new plants develop readily.  This article, English Ivy is an Invasive Weed in the Pacific Northwest, gives more information.

Bittersweet nightshade can be controlled by pulling (please use gloves) when small, and while the soil is loose and moist.  Plants can also be dug out.  For chemical control either trichlopyr or glysophate will work.  Always follow the instructions on the herbicide container for dilution and application methods.  Be careful of herbicide use around desirable plants.  Bittersweet nightshade is common, so watch for new plants to come up.  They're much easier do deal with when small.  This article, Bittersweet Nightshade, has pictures of the plant and its flowers with detailed information.