The only tree peony that I've ever divided was done accidentally while digging it out to move the plant to AL. It grew just fine, bet yours do, too! Looks like pic 1 and 2 have pieces of the original nurse root but with good looking tree peony roots, yay! The 3rd looks like it might be straight tree peony roots to me. Hopefully this rejuvenates the plant and you end up with 3 gorgeous woody peonies! Looks like you're doing an excellent job with them! Question though, will you remove the herbaceous nurse root? The one I divided came from Adelman's originally, didn't have any to remove so I've never done that…..