Plant ID help Zone 8

I have 2 flowering plants I need to ID. I'm in southeast Alabama zone 8b.

The first is a 3 petal, purple flower that I thought I dug out of my yard last year but it has come back worse this year. It blooms now in spring, and I believe in the fall as well. The top has multiple flowers which you can see usually only one open at a time, and when open are about the size of a half dollar coin. They act invasive in that they are hard to get rid of (impossible to pull, must be dug out) and are steadily spreading all over, but in isolated bunches. When you so much as brush past them, even when the flower is closed, they get a purple juice on you that can stain. They grow about a foot high in the open but will grow to several feet if needed to reach sunlight.

The second is also a light purple color flowering plant. It is also spreading everywhere, as in it grows almost synonymously with my grass, and has small clusters of tiny flowers at the top. It is easy to pull up and has bumpy white nodules on the roots as pictured. Generally low growing but it will also grow to several feet high to reach light. Blooms in spring and fall and seems to live year round here.

And help identifying these two would be appreciated as well as any other information on these plants.

The first one is my favorite flower, Spiderwort.  


https://en.wikipedia.org/wiki/Tradescantia


https://www.wildflower.org/plants/search-spiderwort

The second one might be Beebalm

https://www.wildflower.org/plants/search.php?search_field=beebalm-monarda

The second plant might be Stachys affinis or something similar

Looks like William might be right:

https://www.pfaf.org/user/plant.aspx?LatinName=Stachys+affinis

Thanks everybody! I actually tried eating the stachys affinis before, good to know it's officially edible haha! I guess I can dig out and pot these spiderwort flowers as gifts as needed, they sure get in the way sometimes! Thanks again