There are a bunch of Murphy's in the area at the time of her birth though.
I have a sneaking suspicion that her parents *might* be Darius Lafayette Murphy (b. 22 Oct 1839) and Mary Ann Garman (b. 15 Apr 1841 Sinking Springs). They're the right age and I have Garmans on my "other side" (grandmother's) as well; considering how many times lines seem to cross, this would fit with that respect. I've found three possible children for them so far: Airy Edith Murphy, Charles O. Murphy, and a male Murphy who fathered a Truman Murphy.
There is a notation in the 1860 census for Franklin Twp. of a Christina Murphy (no husband noted) with four children (page 150). This was taken at Locust Grove:
Christina Murphy 33 FHousekeeper No real estate KY Person over 20 who cannot cannot read/write Wm? and middle initial (Can't read this clearly) 11 MOH Samuel 5 MOH Rebecca 4 FOH Mary 1 F OH
Somewhere in my research I determined that this Christina Murphy might have had Caplinger as her maiden name.