Have you contacted the Profile Manager to discuss this? It looks like there is another child Lydia born about 1802. From comparing the two women you mention, it looks like the birth and death data for both women is the same.
This may have simply been an entry error when the profile was created. We all make mistakes.
They likely should be merged into one profile as the wife of . John Burke. Or Lydia's dob/dod should be changed and she could be merged with the sister Lydia.