It appears that there are more than one George Washington Ash's.
The one that I am trying to locate was born circa 1832 according to the 1850 Federal Census for the Franklin Township area of Ripley County, Indiana.
*** 1850 Franklin Township, Ripley County, Indiana Federal Census pg. 262 dated 20 Aug. 1850
Household No. 170, Number Visited 171
Mansfield Ash 27 M Farmer $350 KY
Elizabeth 24 F KY
John F. 5 M IND
William Harrison 3 M IND
Household No. 173, Number Visited 174
Littleton Ash 64 M Farmer $400 VA
Nancy Ann 57 F VA
Nancy Jane 21 F School Mistress IND
George Washington 18 M IND
Household No. 304, Number Visited 308
Lorenzo D. Harding 38 M Physician $500 NY
Martha Jane 26 F NY
Addison Irving 8 M IND
Elliner 2 M IND
Alphonso 4/12 M IND
Nancy Jane Ash 20 F School Mistress IND
NOTE: The Nancy Jane Ash in the household of Lorenzo D. Harding is believed to be the same as the daughter of Nancy Jane and Littleton Ash listed above.