From the flowers it appears to be a speedwell (Veronica).

Thanks! that was fast. Hosenemesis, you're right, it roots anywhere there is moisture on the ground. Kind of impossible to get rid of once you've got it present in your yard. Dis, i actually have the two coming up. Mostly this kind without the red/black dot.

If the frog fruit starts up in a bed, I just use that as mother plant and constantly cut off pieces and stick them in the ground elsewhere since it will root with little to no help. Anywhere else it's free to wander. We just mow it where it's in the lawn. But I'm a lot more about gardening for wildlife and using natives than anything else. We have a native grass lawn and don't irrigate it, so it's not a showplace to start with ;-)

Many years ago-we've been in the same little house for decades now-I did in fact rid my lawn of all broadleaf weeds including Glechoma. It required two apps of phenoxy herbicides, about ten days apart, but it did work. Of course, all the planting beds along the border and really, just the lawns themselves allowed the stuff to come roaring back from adjacent low-maintenance yards. The takeover is now complete, from one end of the yard to the other. That, along with wood violets and other assorted weeds including clovers comprise most of my lawn at this time. I've learned not to care. And again, with my newest baby granddaughter living in an apartment we own right above our house, the occasions for that little one to be out in the grass playing are numerous. Right now, that takes precedence over having a weed-free lawn. In fact, it's not even close!