Individual Details

Solomon Jr. apparently married Rebecca Littleton Lane, 23 Apr 1828, Newton Co, GA
Georgia Marriages to 1850

Although Solomon died in August of 1850, that was after the "cut-off" date of the census which was June 1st, so he should have been counted in the census and he was:
Dist 11, Randolph Co, GA, Hh 39
S. Graves, age 47, Bapt minister, dottoed as b. GA, but he wasn't.
Catherine, age 28. Frances (f) age 8. Ernest, age 5.

A Bible record of the family of John F. Goneke shows that
Solomon Graves, b. Caswell NC 9/22/1803, died Randolph Co, GA, 30 Aug 1850. Married Rebecca Littleton Lane, who was born 23 Nov 1811, died Newton Co, GA, 12 Jun 1831.

Solomon and Rebecca must have had a daughter - another entry in the Bible:
Martha H. Graves, b. Newton Co GA 22 Mar 1829, d. 29 Ec 1912 in Randolph Co GA and she married Louis A. Goneke, b. Raleigh, NC 20 Aug 1820, died Quitman Co GA 24 Aug 1871. They married 4 Apr 1841.

Birth	22 Sep 1803	Caswell County, North Carolina
Death	30 Aug 1850	Randolph County, Georgia

Father	Solomon Graves (1766 - 1830)
Mother	Frances Lewis (1768 - )
Sibling	William B. Graves (1791 - )
Sibling	John L. Graves (1792 - )
Sibling	Iverson L. Graves (1793 - )
Sibling	Frances L. Graves (1798 - )
Sibling	Barzillai Graves (1806 - 1867)
Sibling	Sydney Graves ( - )