Perhaps Corydalis flavula.

Thank you all for your help. The only one I am still unsure of is the first one. I do not think it is a Rubus or a Geum, as I looked at pictures of these online and they do not seem to match. The other three I am sure are correct. I will leave the Deadnettle and Star of Bethlehem for now, as I think they look nice, but the Japanese Knotwood I pulled out after digging around throughly to make sure I got it all.

I'll wager that it's pretty Virginia creeper, a non poisonous vine. Here is a link that might be useful:

Ken, Unfortunately not all will sprout next year (it only seems that way) ==>> ya know.. exaggeration for the sake of humor escapes some peeps around here ... but i do agree ... maybe only half of the billion seeds will sprout ... thats so much easier ... that she wont have to quit her job to make sure every single one of them is gone ... and do keep in mind.. some of .. maybe a quarter billion of last years brood didnt sprout this spring.. and are laying dormant for next year.. and even if he gets every single one ... they might still be hundreds next year ... one way to reduce such.. is to apply a good layer of mulch to cover the soil surface.. and never let anything seed on top of the mulch .. many of these things need to actually touch mother earth to sprout ... ken