I have been able to locate some interesting information on the Joshua and Temperance Brigman family of Walker GA.All of this came from cemetery records, articles, etc. (not just census data).Joshua and family seem to have moved to the area about 1836/1837.Joshua Brigman is listed on the 1840 census as Joshua Bridgman.
Here's a list of burials in Walker County from the first cemetery book.
Volume 1: BRIGMAN, Alice; Alice L; Annie; Cicero S; Cynthia; Cynthia L; Ellen G; Elizabeth; Fannie; H.M; Ida L; Infant dau; J.T; Lingy; Mary; Mary T; W.M.
Volume 2: JONES, Harriett Brigman
Harriett was the only one in V2. She is listed in the Jones Cemetery. This cemetery is located about 2 miles north of Rock Srpings.
JONES, Harriett Brigman Wife of James Jones 24 July 1827 - 19 Aug 1911
There were 17 graves in this cemetery with 10 unmarked for a total of approximately 27 if the unmarked are counted correctly.
There is also an article in the HISTORY OF WALKER COUNTY, 1833-1883 on page 103. The article was written by J. Forrest Jones.
It said Joshua Brigman was born 1781, died 1844; married Temperance Quick (born 1791, died 1859).
Moved from Carolinas to Walker County.
Bought land about 9 miles north of LaFayette on what was the Stage Coach Line from Rome, GA to Ringgold, GA ca 1835/6.
The family cemetery is south of the home where family members and slaves are buried.
Martha, b. 1804 George, b. 1911. d. 1882 Daniel, b. 1812, d. 1863 Jannet (Jane), b. 1814; married Mr. Herin; Joshua, Jr., b. 1815; died 1853 unmarried Catherine, b. 1817, d. 1901; married William Tyner Cynthia, b. 1818, d. 1846 Malcom, b. 1819, d. 1859 Lincey, b. 1821, d. 1882, unmarried Elizabeth, b. 1822. d. 1901, unmarried Divinity, b. 1825 Harriet, b. 1827, d. 1911, married James B. Jones Mary, b. 1825, d. 1867, married a Baker Robinson, b. 1832, d. 1863; married in Carrol Co GA Harris b. 1832, d. 1962 [this must be a misprint and should be 1862] unmarried.
I hope this helps some of the researchers for this line!