Thanks jekeesl! I think this will set me on the correct path. It's a close match. I wish there were some pictures online that detail the leaf structure. The leaves on the plant are very similar to rosemary in size and shape. The flowers that have just emerged are tiny. Maybe 1/4 inch across. Like a pencil eraser.

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.

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.

The A/C is almost always running! My plants don’t seem to mind too much haha. I have 2 grow light bulbs, but may have to invest in a gro light stand or two as the weather gets cooler. Right now the tropicals are sitting on a coffee table facing a window with bright sunlight and they are mostly doing well.