Is her birth surname Roth, or Frantsin? She started out with no birth surname, in 2011 Frantsin was added, then it was changed to Roth Frantsin, parents attached are Roth. I think Frantsin might be a variation of Frantz.
Most online trees have Frantsin, which probably comes from this immigration record, but I don't see anything that definitively connects this person to Christian Frantz.
Name: Magdalena Frantsin
Age: 15
Birth Year: abt 1717
Arrival Year: 1732
Arrival Place: Philadelphia, Pennsylvania
Primary Immigrant: Frantsin, Magdalena
Source Publication Code: 9041