That is correct I did find that John Farner was living with his wife and son on property owned by Jacob M Farner in the 1850 Federal Census for Greene County, Tennessee. But I did not find John named as a heir to Jacob M Farner's estate.
Researched descendancy of Jacob M Farner:
JACOB M. FARNER was born 1802 in ,Bedford,Virginia, and died Bef. March 1866 in ,Greene,Tennessee.He married (1) ELIZABETH MYERS 09 August 1821 in ,Greene,Tennessee, daughter of HENRY MYERS and ELIZABETH TROBAUGH.She was born 24 May 1802 in Stauton,Augusta,Virginia, and died 31 May 1851 in ,Greene,Tennessee.He married (2) JULIA ANN NORTHINGTON 24 November 1853 in ,Washington,Tennessee, daughter of DAVID NORTHINGTON and MARTHA CROWDER.She was born 03 November 1814 in ,,Virginia, and died Aft. 1868.
Children of JACOB FARNER and ELIZABETH MYERS are:
i. WILLIAM NATHAN3 FARNER, b. 07 June 1823, Greene,Tennessee,USA; d. 12 March 1882, Coffeyville,Montgomery, Kansas; m. JANE ANN ACKASON, 24 December 1843, ,Greene,Tennessee; b. 1823, ,Greene,Tennessee; d. 19 March 1905, Pawhuska,Osage,Oklahoma.
ii. REBECCA ANN FARNER, b. Abt. 1831, ,Greene, Tennessee.
iii. UNKNOWN FARNER, b. Bet. 1831 - 1835.
iv. ELIZABETH JANE FARNER, b. 15 July 1845, ,Greene,Tennessee; m. MARTIN SUSONG, 23 May 1864, ,Greene,Tennessee; b. 1842.
Child of JACOB FARNER and JULIA NORTHINGTON is:
v. JACOB STEWART3 FARNOR, b. 1854, ,Greene, Tennessee; d. 1934, Clear Branch,Unicoi,Tennessee; m. REBECCA J HARDIN; b. 22 January 1852, ,Greene,Tennessee; d. 16 February 1939, Clear Branch,Unicoi,Tennessee.