Nope, although I don't know what they are.

The first one looks vaguely like a verbena seedling and the second one looks like a Eupatorium seedling.

Thanks, I'll post pictures later when they've grown more.

Neither is Lambsquarters. Does Buddleja self seed in your area? That's what they look like to me. (In different stages of growth.)

Not sure if Buddleja (butterfly bush, right?) self seeds, but they certainly are everywhere in my neighborhood. That seems like a reasonable possibility. How soon would I see flowers on this new growth?

Maybe next year on the bottom plant. Longer on the top plant. I would get it out of the pot asap before it gets a root hold. They are weeds where I am. Here's the kind of place they like to sow themselves.

They are weeds where Robert lives as well :-) In fact, they are on the state's noxious weed list as an invasive species....except those new, allegedly sterile cultivars.

In which case get rid of them. And I'm not holding my breath on the new 'sterile' cultivars staying that way. What do you think GG?

Well, we've seen how well the supposedly sterile cultivars of other invasive species have turned out so no, I'm not holding my breath either. But who knows......maybe the technology involved in manipulating plant genetics is being put to some good usage :-)

I have a sterile cultivar of Buddleia davidii. I've had it around for over 20 yrs & never had a single seedling pop up in OH or in the 8 yrs I've had it in AL. It was given to me as a cutting around 1992, no idea what its' name could be. Smells sickly sweet. Fuchsia flowers with orange centers. This pic is from 2004.

To my knowledge, there are no sterile cultivars of Buddleia davidii. The species is profoundly fertile and the primary source of any invasive issues. One of the mysteries regarding invasive plants (and why many fail to acknowledge their invasiveness - not meaning you, Tiff!) is that you seldom see them popping up in your garden or even adjacent gardens. So the assumption is they are either a) not invasive, or b) sterile. Butterfly bush seeds are tiny, produced in abundance (40,000 per flowerhead) and are dispersed a great distance by wind and to a lesser degree by water. So when they do land and germinate, it is typically at a significant distance away from the mother plant. Even here, where the plants are a listed invasive, old Buddleia shrubs can be seen in any number of gardens and never any seedlings close by. But travel down the road aways and you will see plants popping up in old parking lots, along the roadside and in native clearings. And to be sure, the plant's invasive potential is not uniform. It needs the right set of cultural and climate conditions to be a pest. Location, location, location!!

The current sterile cultivars are either hybrids or genetically manipulated for polyploidism.