He married Rebecca Miller. The following children are listed on his findagrave site:
William Maxwell 1816–1894; Nancy Maxwell Miller 1819–1908; Joseph Belmont Maxwell 1831–1877; Oscar Maxwell 1832–1903; Erastus A Maxwell 1833–1918; Mary Elizabeth Maxwell 1836–1924; Harrison Maxwell 1840–1842; Eldridge Maxwell 1842–1863; Rebecca Catherine Maxwell 1844–1936
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