Looks like annual bluegrass to me... http://www.msuturfweeds.net/details/_/annual_bluegrass_47/ I do not think there is an easy way to control it, other than pulling it by hand or waiting for it to die with the heat. I am kind of new to this world and hopefully I am wrong, let's see what other more knowledgeable have to say Here is a link that might be useful: msu annual bluegrass

The purpose of the tilling was really to pull up some roots and get to what's underneath. The top is all hard and cracked. We got a ton of roots up and pulled out a lot of weeds. We'll be adding a bunch of new dirt and levelling. I've no doubt that will be a long process, but that's ok. This particular stretch does have full sun. It does have a small crepe myrtle, but that doesn't shade it much. This side faces the south, and being on the corner gets morning, afternoon and evening sun, only a tiny bit of it gets filtered by the crepe myrtle. My only worry is that it'll end up with a greenhouse effect and grow even better under the plastic..... That side has some bermuda already (and we left some areas. Plans for that stretch (which is actually bigger than I said - 37x17, I finally measured it today) are not settled yet. It'll have some bermuda in the center, but we're going to semi-xeriscape. I say 'semi' because we do want some grass, but we'd like to minimize water requirements. I'm going to put a border in around the perimeter, though I haven't decided which plants to put in. The border will be ~2 ft in (a little more around the wrap-around porch to incorporate some bushes already there. Along the fence line I'm still debating. We have an ugly chain link fence which we hate, but aren't planning to remove it any time soon. There's bermuda outside the fence in the front (no sidewalk there), but I was thinking of putting in some ivy-type ground covering (sorry, still learning all the names) which will creep over the ugly fence. On the inside we'll have the mulch with some drought-tolerant plants. There's an ivy-type plant growing elsewhere along the fence, but it's pretty messy and strangles the cedar elm, so I'm not sure I want to keep that. The whole property is 1/4 acre, so we have a fair amount of yard to deal with. As we're still in the midst of interior restorations, the outside is a slow process. It's mainly getting attention now because it's one of the few things I can do with my little one (compared to painting, sanding, hanging sheetrock....)

For comparison, this is Glechoma hederacea growing at my house. 100% guarantee the ID of these pictures - I am an herbalist and do harvest this for herbal purposes. I tried to take a picture of a "patch" that was of similar character with close-ups for the OP to compare to. I do not see the "round objects" in the original photo but Glechoma hederacea do get galls in its stems that are very round. FataMorgana

Looks like henbit. It's tough to kill when it gets big like that. 2,4-D will kill it when it's small. The best cure for it is prevention. Put a preemerge out to keep it from sprouting in the fall.