Thanks for the initial responses on trying to ID this weed.
I finally figured out the very invasive weed on my property is either "Creeping Buttercup" ("Ranunculus repens")
Good pic's of it seen here:
OR it could be "Tall Buttercup" (Ranunculus acris)
I recall that in some parts of our property it did grow quite tall while in other parts it stayed short. Maybe I have some of both!
What I need now are methods of killing it!
Perfer non toxic if possible. Digging out by hand doesn't seem like a practicle solution.
I have one large area (veggie garden)that it has completely taken over.
I am thinking of a non toxic weed killer (not sure if Roundup is), smothering the area with tarps or plastic, lime application for a season (it likes acid soil), tilling and retilling the area and I don't know what else?
I also need some way of dealing with individual plants that have started to invade flowerbeds.
I don't want to harm the flowers right next to them. Digging out by hand maybe...but I did learn that any trace of root, and it will keep on growing. Kinda like goutweed does.
Any ideas on killing this type of weed?