Brenda I think Charleen is right. I have never grown peonies in containters but I don't see why they couldn't be. I do know that once they get established in a certain area they really despise being transplanted and will refuse to bloom for a couple years out of spite.
I had put a Mock Orange shrub in a whiskey barrel last year and then put a bunch of red creeping sedum in there. Forgot about them until oh I don't know I think it was January when I realized I didn't find a permanet home for the shrub.......this spring I cut the dead stuff off and thought lets see what happens.........didn't get much bigger than it was after I cut it down but it has blooms on it and the sedum has gone mad!!!!!!!!!!!I took a picture this morning of it but they're not loaded on the puter yet. When It is I'll post a pic.
Some things you just never know.