I cast my vote for Dead Nettle. You can eat it, but in my opinion it tastes like dirt. I'm sorry. I mean, it has an "earthy" flavor to it. A member of the mint family. It's all over my yard, but I don't do anything with it. I just like to watch them shoot up in the springtime. Shallow roots don't really compete with anything.
Bring me the box labeled "thinking cap" ... and then read this tiny ad: