Ok I found a picture of one I bought at a farmer's market last year. Does anyone know the name of this peony?

Not disagreeing that it mightn't be a hybrid, but there does occur variation within the species. 'tenuifolia' translates to 'slender leaved', which is often rendered as 'fern leafed'. Attached is a link to a picture w/2 P. tenuifolias in it. If you look at the leaves of the 2 plants in this picture, the forward plant has rather broader leaves than the plant to the rear. Commonly, P. tenuifolia's leaves may be as slender as a dissected leaved maple, but again, there is variety in the species. Here is a link that might be useful: link to some pics

And...the long hedge on the south side of our lot. The original pictured peony in my first post is NOT planted with this group--those are planted on the east side of our home.

"Festiva Maxima" is fragrant, has a typical peony fragrance, which is not very sweet, not very spicy either. "Sarah Bernhardt" has a typical peony fragrance, maybe a bit more fragrant than "Festiva Maxima" Al lot of tree peonies are fragrant, and do well in warm climate than herbaceous peonies ( If the leaves not fall in the autumn, need to trim the leaves to force dormancy). Most of Chinese tree peonies are fragrant. Chinese tree peony "Xiang yu" (Fragrant Jade) is reported do well in warm climates. Tree peony "High noon" is said to do well in warm climates. It has a lemon type of fragrance. Itoh peonies are reported to do well in warm climates due to their heritage from tree peonies. "Bartzella" has a lemon type of fragrance.