Hi Libby, this info is from Ohio Death Records, 1908-1953 at fsbeta.familysearch.org .If you set up an account with them you can view the certificates.Good Luck!
It appears that one son was:
George A., b: 1 Feb 1857 , d: 22 May 1926, Lorain, OH.He lived at 718 A. Street, a retired farmer, buried 25 May 1926, Bay Village, OH, spouse Elizabeth.Father: George Jaycox, b: NY, Mother: Mary Mattison, b: NY.
William, b: 14 Jun 1865, Avon Lake, OH; d: 26 May 1951, Rural Ridgeville, Lorain OH.Father: George Jaycox, Mother: Mary.
Henry A., b: circa 1862, Avon Lake, OH; d: 11 Apr 1913, Lorain, OH; Buried: 14 Apr 1913, Elmwood Cmty, Lorain; Father: Geo Jaycox; Mother: Mary Madison.
Eliza A. MOORE; b: 9 Feb 1847, Avon Point, OH; d: 19 Jan 1911, Cleveland, OH.Buried: 21 Jan 1911, Avon Point, OH; Father Geo Jaycox, b: NY; Mother: Mary Madison, b: NY
James M. Jaycox, b: 30 Mary 1849, OH; d: 20 Jan 1916, Lorain, OH; Father: Geo Jaycox, b NY; Mother: Mary Matison, b: NY
Alice M. BRAUN, b: 16 Apr 1854, Avon Lake, OH; d: 29 Apr 1925, Lorain, OH; Buried 1 May 1925, Spouse: Henry Braun; Father: Geo Jaycox, b: NY; Mother: Mary Mattison, b: NY
Lydia Jane BUER, b 13 Dec 1844, OH; d: 20 Sep 1921, Avon Lake, Lorain, OH; Buried: Holy Trinity Cmty, East Avon, OH; Father: George Jacox, b: NY; Mother: Mary Mattison, b: NY