Rhonda, Me again...after I sent the other message I took a quick peek on "Yesterday's in Hamilton County"... In the census records for 1850, there is a James F. Gallaher..37..farmer..wife Jane 37..son John..14, son William 12.. dau. Jane 9, son Salmon S. 6 and son James 4.
there is a slight difference in the spelling of the last name but this might be the two you're trying to connect...I'll try to check the court house for birth records sometime the first of the week.
Phyllis