I've done a good bit of research on the FINGER families over the years. From all the research I've seen, Caroline's mother was Barbara Finger and all her children were illegimate. Children were Mary Elmira Finger who married Nelson Moffitt & Noah Yount, Caroline Finger married John Davis Pyatt and John Finger who we lost record of.
Barbara Finger was the daughter of Johannes "JOHN" Finger and Maria Catherine "CATY"Gantzler(CANSLER)of Lincoln Co, NC. John died prior to Jul 1809 and several of his children were appointed guardians. On 6 Jan 1810, each of John's SIX children were granted 91 Acres each as a settlement of his estate. The mother Catharine remarried to George Gerding.
EMAIL me offline at firstname.lastname@example.org. Have lots to share as I'm sure you do also on the Pyatt lines.