#1 looks like Creeping Charlie ((Glechoma hederacea), also known as ground ivy and creeping jenny.
#2 Lamium maculata
#3 Heuchera sanguinea
#4 Cerastium tomentosum

#1 looks like creeping charlie, a weed
#2 lamium, a ground cover, perennial, one of the several varieties I have in my gardens
#3 ?
#4 Snow in the Summer, Cerastium, a nice silver leaved perennial, another in my gardens, winter sowed many years ago

#1 pull it all out & pot up for easy care pots in part shade to tuck in around other plants, but don't let the trailers root...

#2 'Beacon Silver' Lamium (one of my favorite slug & rabbit resistant plants that grows in shady conditions)

Easy to divide in early spring or really anytime you can give it good soil & moisture. Received a big overgrown unpruned hunk of it last November. I clipped it back, divided the roots & planted the cuttings all in nursery bed. Now I've planted out lots of divisions this spring & there are still more in the nursery bed taking off nicely.

For me it looks tatty after about 3 weeks of blooming mid-summer & if I cut it back I get nicer looking foliage that lasts rest of the season as long as soil stays moist. If soil dries out it gets darker looking patches that I've read is a type of virus & nothing we can do about it. Everything else looks good around it, so I don't worry though I prefer my other lamiums for foliage I love the magenta blooms on 'Beacon S.'

Another with the same bloom color is 'Red Nancy' I think with nearly all white leaves. I have that as an accent in XL pots of perennials in part shade.

Corrine

I agree with the first three - creeping Charlie, lamium, and heuchera; don't know the fourth. Can you post a pic of the foliage of #3?

Dee

Make sure you don't inadvertantly take any roots of no. 1 with you if you dig up anything else. Creeping charlie has completely infested my lawn and I am constantly fighting to keep it out of my beds. It is at the point where I am seriously considering kiling my entire lawn and starting over.

Ditto what a2zmom said about the creeping charlie. I also have a lawn infested with it. I would remove it entirely if you can.

You have all been very helpful! I spent hours on the internet trying to identify these and you are much quicker! I think we will leave the creeping charlie where it is. And try to avoid any roots too. Thanks again.

The Cerastium is also be a nightmare to get rid of if you should want to.