"John T. Ashenhurst & Betsey Sherrarts were married Oct. 19, 1826 by Joshua Phillips" (Ancestry.com, 2016, "Ohio, County Marriages, 1774-1993: Huron County, Ohio". Film Number 000410258, Lehi, UT, USA).
"The father and mother of Mrs. Williams were John T. and Elizabeth (Sharrats) Ashenhurst, natives of England and Pennsylvania respectively. Her father was a farmer in Ohio where he lived until his death in 1844. The mother died at her daughter's home in Hastings January 19, 1873, aged sixty-nine years. Mrs. Williams is the only one now living of a family of four children. Her grandparents were natives of Germany and reared a large family." p. 298 Portrait and biographical album of Barry and Eaton counties, Mich. Chicago: Chapman bros, 1891. https://quod.lib.umich.edu/m/micounty/bad0899.0001.001/304
"John Sherarts and his wife, Elizabeth, came in 1809 and settled one-half mile west of the river on shore; sold out and removed in 1818. Their children were - Mary, who married Herrick Parker, Esq.; Betsey, who married John T. Ashenhurst; Katherine, who married Christopher Shafer; David, who married Betsey Compton; Caroline who married Charles Crandall; John, who married Abagail Gordon; Jane, who married Asa Fisk, and Angeline, who married David Hammond." Early Times and Incidents in Vermillion, Benjamin Summers, The Firelands Pioneer. June 1863. pp. 72-88. http://files.usgwarchives.net/oh/erie/history/VermPion.txt
There is a John Ashenhurst born October 19, 1806, Manchester, Lancashire County, England to John and Jane Ashenhurst. (Ancestry.com. Lancashire, England, Church of England Baptisms, Marriages and Burials, 1538-1812 [database on-line]. Provo, UT: Ancestry.com Operations, Inc., 2012. Original data: Lancashire Anglican Parish Registers. Preston, England: Lancashire Archives.)
This 1860 census record shows an Ashenhurst family in Vermillion, Ashland County, Ohio, that is quite possibly related. https://www.ancestry.com/imageviewer/collections/7667/images/4237536_00299
James A. Ashenhurst, 42, M, U. Br. Clergyman, born in Ohio.
Martha, 38, F, born in Ohio. Update, James Ashenhurst appears to be from Brown County, Ohio and related to the southern Ohio Ashenhurst family. https://www.findagrave.com/memorial/110128682/james-young-ashenhurst