WILLIAM WHALEY b 1717/26 Lived in Loudoun Co Va d Fairfax Va 1790 md 1st Lena Mason; md 2nd Barbara Remy (d Dec 12 1826 Bourbon Co Ky) dau of Jacob Remy III and his wife, Sarah. He and Barbara had four children: Sarah, Kate, Jemima and Leland. He and Lena did have a son Wm., but there are no records to show he ever married. He d. 1824 in KY.
Haven't been able to find your Wm. b. 1750 who md. Nancy Pulliam! Doesn't seem as if James or his brother, Wm., had a son Wm. who fits.