I spent some time in the Mormon archives in Salt Lake City and have some new information.
1.Margaret Blair was right, there appears to be no relationship between George E. Hagerman (1847 - 1904, son of George L. Hagerman 1815 - 1855) and the family of Barnce R. Hagerman.You will recall my "discovery" that George E. and daughter Jennie attended the wedding of Barnce's daughter Eleanor to Dr. Henry Tuttle Halleck in Brooklyn on or shortly before 3 May, 1885.
However, the 1880 census suggests that all of the Hagermans reported as attending the wedding were in fact children of Barnce R. himself.His children by wife Eloner [sic] were William, Anna, Ella, Jennie, George W., and Willa [Wilhelmina?] Hagerman.Also in the household were his son-in-law Major E. Page, grandchildren Bessie, Nellie, and Charley Page, sister-in-law Susan J. Lisk, and niece Florence Lisk.
Barnce or Barnes R. Hagerman was the first of nine children of Richard Hagerman and Maria Heaviland, of Green Grove, Monmouth County, NJ.Richard Hagerman, born 9 Dec., 1798 in Tennent, Monmouth County, NJ, was clearly one of the four Hagermans of undetermined relationship which Margaret reported arriving in Monmouth County between the 1790's and 1810.But I was able to find no connection between Richard Hagerman and George E.'s grandfather, John Hagerman, who according to Margaret bought land in the Shark River, Monmouth County, area in the 1820's.
HOWEVER, it appears that two of the four original Hagermans, Richard and Dallance or Dollance, were brothers,sons of Barent and Mary Hagerman.Dallance, the eldest, was born 15 Dec., 1796, also in Tennent, Monmouth County.The other children of Barent and Mary Hagerman, all born in Tennent, Monmouth County, were Jacob (b. 6/26/1801; m. 6/6/1827 Lydia Heaviland), Eleanor (b. 3/7/1805), Charles (b. 7/16/1807, m. 9/19/1827 Sarah Heaviland), John (b. 5/3/1809), Daniel (b. 4/12/1812, m. Sarah Ann _____, d. 4/10/1851), Berent (b. 3/17/1816, d. 6/26/1816), and James (b. 9/22/1817, d. 4/3/1856).Clearly these Hagermans had something going for the Heaviland girls.While it is momentarily tempting to consider that this John was the father of George L., the dates make it impossible -- George L. was born c. 1815.
2.George Hagerman (1815 - 1855) married Eliza White.According to LDS files Eliza was born 4 Dec., 1820, the daughter of George Woolley White and Deborah Jones.They married c. 1840.I found and copied the original 1850 and 1860 census records showing that their children were Susan I. [or J.] b. 1842 or 1843, William b. 1844 or 1845, George E. b. 1846 or 1847, Reubina A or Adelaide b. c. 1849, Vanthuysen b. c. 1851, and Catherine b. c. 1855.