I am glad your pesky weed’s mystery is solved Karen. Thanks to Stone’s good eyes and knowledge. Best wishes!

looks like dayflower to me.Commelina communis?

You’re right too, it also looks like basketgrass. Looking at online photo’s though, I am not seeing any of my growth with ‘hairy stems’ but the rest matches up. It has ‘wavy leaves’ that are approx. 1/2″ wide at middle area and 1.5″ in length.

I don’t think this is tradescantia. Wavy leaf basket grass seems likely. http://www.se-eppc.org/southcarolina/wlbg.pdf

Again, I appreciate your replies! I’ve spent hours reading and looking at photo’s online and it does look a lot like what we have in our yard. And according to what I’ve read, it’s not easy to get rid of and will take quite some time to completely (if possible) eliminate it as it’s threw our whole yard now. I wish you could just kill it with Roundup but it sounds like the better cure is to cut it back, use the Roundup and once that dries/kills what’s visible, then rake a lot and then leave it as just dirt for a long time to see how much grows back. Then retreat again as necessary. Any other suggestions are greatly appreciated!

A plant can be a ‘Non-Native’ and still able to naturalized in places favorable to its growing condition. That is why Florida Exotic Pest Plant Council’s listed on its Invasive Plant Species. The link be low stated its naturalized distribution places in Florida. http://florida.plantatlas.usf.edu/Genus.aspx?id=1236

Thanks for the response but when I looked up your suggestion it apparently does not grow in Florida.

This might be Small-leaf spiderwort (Tradescantia fluminensis). Link below provides methods for eradication. http://plants.ifas.ufl.edu/node/455