Susan, vetch is another one that people have mixed feelings about. I used to HATE it, and I would never plant it, but lots of people use is as a green manure. I have learned to pull the top off and leave the root because the GA clay can use all the rotting roots in the soil we can get!
There are a lot of weeds that actually have a pretty flower, but alas, if they grow where they're not wanted and enmass, they are just a WEED!
Right now I am having an issue with red sorrell. Almost impossible to get rid of. and I see it going to seed already all over the sides of the road. Ugh.