Is not this person Elizabeth Barringer Peck?
Unfortunately John Sr.'s will appears to have been destroyed and cannot be used to establish the names of his children. I wonder if Christiana had a will when she died in 1832.
I am a greatX3-grandson of Jacob Barringer 1784-abt.1856 who may not be a son of Capt. John E. Barringer Sr. but rather a son of Mathias Barringer 1743-1794 and Barbara Schnepp 1750-1797 from the George Henry Barringer line, not John Paul's. OR there could have been another Jacob Barringer born in 1784.