To get the discussion started, I think it is a Euphorbia -some kind of cushion spurge. :-)
-ecs

I live in Parma ohio and also had this plant mysteriously
appear in my flower bed. I assumed it reseeded itself from my neighbor's yard. I can't ask them what it is, as they don't speak english.

Maybe snow-on-the-mountain, Euphorbia marginata?

whatever it is, I would not mind finding it in my yard. it is pretty.

it is beautiful....and am interested in it also......what does the actual leaves look like?

I agree completely with euphorbia marginata-Snow on the mountain. Little white flowers and all.

I (Parma) went ahead and googled it. The leaves are pale green and sort of fleshy. The whole plant exudes a milky substance and is TOXIC. I wouldn't recommend
making an herbal tea out of it or tossing it in salad :)

Thanks everyone! I did find it on the computer after the first comment suggested euphorbia. It is definitely Snow on the Mt. Some of my friends thought snow on the mountain was different; but the pictures are exactly the same as mine. It also goes by 'ghost weed' & 'summer icicle'. I love the summer icicle name; what fun!! I have never seen anything milky come from it...yet. The butterflies LOVE it.
I'm hoping I can dig some of these up & spread them around different areas of the yard.
Thanks again everyone!! :)

be really careful during propagation, as Parma said they are incredibly toxic,(euphorbin i believe is the name of the compound) some people have skin sensitivity but everybody has eye sensitivity... it tends to stick to your skin... anyway, wear gloves and wash up afterwards, can't stress it enough, i'm immune to poison oak and many other plant alkaloid irritants, and most of the toxic latexes i've worked with have been fine with me, but this plant can really jack you up... and the eye recovery time is a week or more, with bandages covering them and expensive topical antibiotics required.

are all types of euphorbias toxic??

I have this plant and it is an annual (in NJ) but self-seeds like crazy, so you could well have MANY seedlings from it next spring nearby the original plant, but the original plant will not return.