There are two Jeremiah Woodyards (various renderings of surname) and the first name has been rendered as Jerry and Jere.
There is the first Jeremiah Woodyard who was the son of Henry and Margaret (Martin) Woodyard and who married Elizabeth Thompson; they had two sons, James and Garrard/Jarret (who changed surname to Woodger, Wooger and Woodgerd, etc.) and both sons wound up in Athens County, OH. Here is information on him; much was deduced from the Revolutionary War pension application of hJeremiah's nephew, who had been born out of wedlock to his sister Mary Woodyard, Colvert Mason Woodyard (aka Colvert Woodyard Mason); Jeremiah's daughter Elizabeth testified in the application:
Jeremiah Woodyard (1748-1815 Loudon County, VA) married Elizabeth Thompson, daughter of James and Susannah (Jarboe) Thompson of St. Mary’s County, MD, in 1772 in Charles County, MD; they were in Stafford County, VA in 1785 and in Fauquier County, VA in 1790 before settling in Loudoun County. After the death of her husband, Elizabeth Thompson Woodyard moved to Rappahannock County, VA where she lived with her daughter, Elizabeth, until her death about 1835.
Here is the information on the other one, born in 1750; he was the son of John and Mary (Guibert) Woodyard:
Jeremiah Woodyard (1750-August 1816 Fairfax County, VA) was in Montgomery County, MD in 1776 (rendered as Jere); his inventory was recorded on 28 September 1816 in Fairfax, VA. There are few public records available for this family; he was tithable for road repairs on 22 September 1789, 18 July 1791 and 16 October 1797. According to the 1810 Fairfax census, he was married with two sons and three daughters, all under the age of 15. The 1789 tax list says that he had two other children born between 1785 and 1789. A “Caty Woodard” is listed as dying at Chappawamsic Baptist Church in Stafford County, VA in February 1838 and may have been his widow. His unmarried son Jeremiah D. Woodyard was in the 1830 census for Fairfax County, born between 1790 and 1800; two other sons were taxed in Prince William County, Benjamin in 1826 and Joseph in 1837. There are no existent records indicating anything further on this family; there may have been a marital connection with either a Blansett family, later of Somerset County, PA, or Gerrard “Jarrett” D. Barnett, later of Rutherford County, TN, since these families were Jeremiah’s close neighbors from 1785 until after 1800.
Hope this helps to clarify matters for you.