Hello! I hope you are still out there searching. Though I am not related, I have done a great deal of research on this family. I am trying to sort out the Van Sickle/Fike connection. It is my belief at this time that Nancy was married to a Fike before she married Ezekiel/Hezekiah Van Sickle.
It appears that Mrs. Mary Gibbs may be the first child of Ezekiel and Nancy. I believe Jane Van Sickle, sister of Mrs. Gibbs, was actually born a Fike. Without a doubt Alexander was a Fike, though I have seen the use of both Fike and Van Sickle as his surname.
There are so many connections among the names, including Mrs. Gibbs's brother, Charles Van Sickle, who married Sarah Fike (daughter of Levi C. Fike), and of course the Lillian VS-Fike that you have mentioned.
Have you found the surname of Nancy, mother of these individuals? Or any marriage records?