It's certainly a possibility. The approximate birth dates are in the right time frame.

The Kyle surname sounded familiar. When I checked my records I found that a granddaughter of John and Jane McCartney married a Kyle. Her name was Charlotte Penelope Biggs, daughter of Martha McCartney and Allen Biggs. Charlotte married John William Henry Kyle (11 Jun 1847-23 May 1923).

There is one other record of a McCartney/Kyle relationship. In the early Virginia marriage records Sarah McCartney married Hugh Kyle 03 Oct 1803 in Rockingham County.