Spolier:

When Gene Barry sees what he thinks is the horrible image of the lost-forever Katherine Justice. He buys it. Is it not a lucky break he was not just a few feet closer to her and noticed her arms are too long or her legs are too short (the dead lady was not really dead but was an imposter). Also, they were lucky that Barry did not try to demand the right to examine the dead young lady as her doctor. Nice to see Justice was really alive and whole and the whole tragic death was actually just a hoax to fool Barry.