Hi there Terri.
It looks like it could be Sedum 'Autumn Joy', which has changed name to Hylotelephium spectabile 'Autumn Joy'.
Sedum (Hylotelephium spectabile 'Herbstfreude')
It will go dormant over winter and re-emerge in the spring. Like this photo.
I leave the dead stalks until I see the new foliage pushing up through the soil. That way I know where it is, and won't damage it while weeding. The dead foliage also can provide some winter protection for the underground parts, and some of the smaller birds and other wildlife will feed off of the seed.
Nice plant you have.