If the grassy part is still green and the scape had opened all its buds and not set seed pods, it would be normal for it to turn brown after the last flower on that stem finished. Or did the final buds die unopened along with the stem?
On the topic of transplanting, the scapes (in my climate at least) will usually survive and flower on a transplant if the foliage is cut back (reduces water demand). That's what nurseries that sell daylilies dug on demand do.
