they look like snapdragons. Was there one in the area last year?

Not that I know of, Dotty. (I was away all of last summer/fall.)

Gosh that sure looks a lot like potato to me. Is that a vine or single plants?

Those are definitely not either snapdragons or potato.

Looks like bindweed to me, but hard to tell when they're this small.

Thanks, kind people! Single plants, not vines (yet). Any chance this might be deadly nightshade?

"Springing up all over", tells me it's a weed.
As Reg says, it's not a potato or a snapdragon.
It's kind of early to tell exactly what it is, but I would guess Climbing Knotweed, Polygonum convolvulus.
Mike

Nightshade does look like that. When you pull them up do you get a funky smell from the foliage? Nightshade stinks.

It does looks like Nightshade

Nightshade usually has two 'earlobes' at the base of the leaves. Perhaps though, these leaves are too juvenile.
I've never seen Nightshade come up with many seedlings in one place. Usually it is scattered.
As buyorsell888 says, "Nightshade stinks". Does it?
Probably not.
I think it's Polygonum convolvulus. And it's still just a guess.
Mike

Polygonum leaves have a distinct spade shape starting with the first true leaves.

Juvenile nightshade leaves lack the tell tale 'earlobes'

All it takes is one dropped or pooped fruit to cause a cluster of plants like this.

After reading my above post I see where it might not be clear. I know Nightshade stinks, even small seedlings, but do these seedlings stink? If they do, it's Nightshade.
I can see how a cluster could happen, I just haven't seen it. Maybe I should look a bit closer when I see Nightshade growing. It pops up in the wilder parts of my garden from time to time. I yank it as soon as I see it. Usually it's a rambling vine by that time and I'm lucky to pull it before it goes to seed.
Mike