Definition of a weed: a plant which is unwanted. So any plant can be a weed depending whose eyes are looking at it.The first plant is a peony.

Can't help you with #3 but I think #1 is peony. I went out and looked at the leaves on mine and they're a lot like the ones in the picture.

#2 looks like oriental bittersweet, an extremely invasive vine where I am. Google it to see if it's on your area's noxious/invasive list. Does it produce orange berries? If yes, that's oriental bittersweet vine. I've about gotten rid of it here but it grows throughout the state, birds eat the berries and drop the seeds everywhere.

Thanks for your help!
Does anyone know if peonies will flower when they are in the same yard with a walnut tree? This one is about 5 feet from one.

I googled oriental bittersweet and it is invassive in my area but this one dosent produce orange berries. Any other ideas?

The third plant resembles a hazel tree or an alder. Do you have them over there in the US?

I think #2 might be a kerria japonica.

#3 looks like viburnum.

If you want to get rid of these plants, after you cut them down, apply roundup to the cut stumps.

THe peony will not bloom if it is planted too deep or in too much shade.

I have a peony that's on year 3 of not blooming. Since all my others bloom I can only guess why this one plant doesn't flower so I will move it this fall to a new location and see what happens in May/June next year. Peonies do want full sun so if the tree is shading yours too much, that could be one reason it doesn't bloom. They also won't bloom if they're planted even an inch too deep. I don't have any walnut trees so can't speak to the close proximity issue.

As for the bittersweet, dig/yank it out or pour vinegar on it to kill it. I'm not an expert on whether it needs another vine in the vicinity to produce berries but it's invasive nonetheless, berries or not. If you go the vinegar route, be sure to get the vinegar on the leaves which will shut down photosynthesis and deprive the vine of nutrients it needs to grow. Be careful with the vinegar around other plants--it will kill whatever it touches. I've actually used a small paint brush to apply it to the leaves of certain weeds.

The 2nd one is not Oriental bittersweet (Celastrus orbiculatus). It looks like Forsythia to me.

3rd one could be Viburnum dentatum. Also looks like the Mulberry seedlings I pull, Morus alba. Very weedy, and resprouts vigorously from stumps.

I'm also pretty sure #l is a peony. There was one in the
old farmhouse yard we moved into in 1977. It didn't bloom for about 20 years. I took it to our Meeting House (church) as a contribution to our Japanese Peace garden. and it has been there about 6 years now with beautiful dark pink blooms with very fine thready centers. It's now in a south facing bed with 6 hours + of sun. The plant is also much bigger than it was. Chris

I think I see on faded bloom on the peony. My husband says that he remembers it blooming 5 years ago when we bought our house, but he's not a relieable source :) I think I will follow your lead, grandmachris, and plant it in a full sun location. What time of year do you transplant it?

This might really show my ignorance,but here goes...Could ID #2 be a tree of heaven?

Does #2 bloom with yellow flowers very early in the spring?

My peonies only get morning sun and bloom just fine. But it is essential that they have an open sky above them.

Yes, #2 could be a forsythia. If you look closely on the mulch, there is a tiny yellow spent bloom that might be from forsythia.

#2 is definitely not Ailanthus.

I am thinking kerria japonica for # 2, also.

I have never seen Kerria with 2 inches thick stems. Besides, it always makes a thicket (running habit)

try the name that plant forum.. should we not come to a consensus ..

1 ... rose of sharon above a peony .... peony need full blistering sun ... and i suspect.. years go it was in full sun .... and now it is in too much shade ... probably needs to be moved .... you can just tell.. its thin .. rather than a nice clump ...

2 ... forsythia ...

3 .. seedling of the potentially invasive ROS ...

ken