I don't know, the name Helen Kelly is stuck in my head since I was young. And I still don't know her. :SIt isn't possible.
Reincarnation, as a tenant of major organized religion, originated in India with Hinduism and expanded to all schools of Buddhism (which also originated in India). There are minor writings on reincarnation in other religions and folklore in many cultures implying that punishment by being reborn into the body of a "lower" animal is possible... but generally speaking, our present experience would seem to make it painfully obvious that, if we are reincarnated, we can not remember our past incarnations.
In Buddhism, very few people CAN access their past lives. But they are the enlightened. The measure of "enlightenment" varies from sect to sect: but in every case... it's not something that housewives from Topeka, Kansas can achieve in one lifetime. It's hard... and quite a few Buddhist groups believe that it's no longer possible at all.
Most of us will never access our past lives. At least, not until the coming of Maitreya, who is supposed to make enlightenment possible again (and for a greater range of people, in a much shorter time period).
Then again, common sense also dictates that people can not communicate directly with the dead, take direct dictation from God or saw women in half. And yet, people appear on television claiming to do all three all the time.
The most obvious explanation is that they are lying.
Though there is a mental "quirk" that may explain away the feeling of "deja-vu" and false memories in coached children. Perhaps the way our brain is wired is at the root of those with false memories of pasts as Cleopatra or Marie Antoinette?
Anywho, have you seen the show "John Edward Cross Country"? I don't believe that can be a set up?