Thank you, very much for your help. I believe I am leaning towards Chamaesyce hypericafolia, Graceful Sandmat .......https://davesgarden.com/guides/pf/go/134630/ Think I will let it grow for a while and just see if I like it in the pot. Doesn't say it is a weed, or invasive so don't think I have any problems with it.

I'm pretty sure it's not a vine. If it's a persimmon then I'd like to figure out what type. If it's an american persimmon or american hybrid then I can plant it. If it's asian then it won't survive the winters here. The leaves look kinda similar (more rounded) to my Nikita's Gift persimmon, not so much like the americans I have. My other persimmons aren't really fuzzy like this thing is though.

As you probably don't have a greenhouse try cutting the tops off, potting up and storing in the garage as resting plants until next spring. And kept just moist enough that they don't die. If you have a bright window in the garage place them near that in the spring so that they start growing new tops early enough in the season to amount to something after you move them out for the summer in May or June. Also if winter conditions ever occur there where serious freezing inside the garage is possible then they will have to be moved into a warmer area during this time. And moved back out to the garage as soon as the sharp cold is over.

It's toxic to dogs. They're not likely to eat it but you never know.