John and Florence Pollock had two daughters, Joanna, and Jacqueline.  The girls were hit by a car and killed when they were very young, but their father always believed they would be reincarnated.  Florence did get pregnant again and had twin girls named Gillian and Jennifer.  The family noticed that the twins had the same birthmarks as their older sisters and began acting just like them.  Is it possible that the girls were reincarnated?  Many people are very skeptical of this case, but the family saw too many similarities that they couldn't ignore.

Website: 
Drinking The Cool Aid

Resources:
Pollock Twins: Proof of Reincarnation? | Historic Mysteries

Pollock Twins | Psi Encyclopedia (spr.ac.uk)

The Pollock twins: The case of the Pollock sisters. (mamamia.com.au)

Reincarnation: The incredibly strange case of the Pollock Twins | Mysteriesrunsolved