This tiny 1/4″ flower reminds me of an iris. It is actually from an ivy plant called Creeping Charlie (Glechoma hederacea). It goes by many names: ground-ivy, gill-over-the-ground, alehoof, tunhoof, catsfoot, field balm, and run-away-robin to name a few. According to the U.S. Dept. of Agriculture, it is not native to North America. But, it is widespread. It is actually native to Europe and SE Asia.
It has medicinal uses, is edible, and was used to make beer in Saxony before hops were introduced. Try it yourself to make a brew of Creeper 2013. It can be part of cheese making substituted for rennet.
It is an attractive ground ivy with gently scalloped leaves. It is part of the mint family (Lamiaceae). It doesn’t climb up. Instead, it propagates horizontally along the ground. This vine in the center is about 6″ long and is near the edge of my lawn.
Unfortunately, it is quite invasive and can take over spaces from other plants. Here it tries to make headway into my lawn grass. It weaves its way several feet in through the grass setting down rhizomes every few inches. It can be pulled out. But, it is tedious to remove.