eve goes back in time in her new body. so, how the heck does everyone recognize her as the french lady (it's too early to remember her name), if she is in a new body and not the former body she utilized?pretty scary thought to think that no one has caught this over the years.
I always thought it was like "Quantum Leap": when the character would leap into someone else's body, everyone around him saw the person he had become and all the mirrors reflected that person, but we in the audience always saw Sam Beckett (Scott Bakula). Myabe everyone in 1795 saw the original Danielle Roget but we in the audience saw Danielle as her new identity Eve.