I think you have most of the following which represents everything I could find in my books on the county on Goodman and Burnham/Burnam:
Muhlenberg County KY Abstracts of Wills and Administrations by MG Hammers
Will Book I, pp. 101-103 Silvy Goodman, deceased.Inventory and Appraisal.01 Jun 1809.Mentioned "bad debts" in NC.Approved Jul Co Ct 1809.
pp. 110-111 Herrin Goodman, in account with his guardian, Jesse Oats.Appr. Oct Ct 1809.
p. 112 Silvy Goodman, deceased, addl. inventory by Stephen Stanby (sic), administrator.Approved Dec term 1809.
pp. 114-115 Silvy Goodman, deceased, an acct of her est by admr Stephen Stanley.Some names mentioned:Anne Goodman.Appr. Apr Co Ct 1810.
pp. 117-118 Penny Goodman, heir of Silvy Goodman, decd., an acct by guardian Jesse Oates.Aug Co Ct 1810.
p. 118. Charity Goodman, orphan of Silvy Goodman, decd, an acct by guardian William Oates, 1810.
p. 130 Martin and Chelly Oates, an acct by their guardian, Wm. Oates.No date.
p. 146 Martin Goodman, an acct by guardian Wm. Oates.Apr. Aug Co Ct 1812.
p. 176 Martin Goodman, orphan of Silvy Goodman, decd, an acct by gdn Wm. Oates. Oct Ct 1813
p. 211 Silvy Goodman decd inventory and appraisal by admr.Aug Co Ct 1814
p. 217 Martin and Chelly Goodman, an acct by gdn W. Oates. Oct Co Ct 1814
Book II, p. 15 Silva Goodman Settlement, 10 Feb 1815.Stephen Standley admr. Apr Court 1815
p. 26 Wm Oates gdn of Chelly Goodman reports his accts. Oct Co Ct 1815
p. 122 Wm. Oates an act by guardian to Chelly Goodman.15 Jul 1819 ----- Zilpha:??? Will Book III, pp. 10-13 Jesse Oates.Will of Muhl Co KY; dated 15 Apr 1831; p/Sep Co Ct 1831 To wife Zilpha Son Charles C. Oates when he reaches the age of 21; to Son Matthew Oates; to Son Oliver H. Oates; to Son Wyatt Oates; to Son Richard M. Oates; to Son Charles C. Oates; to son John M. Oates; to daughter Rachel Boggess; to daughter Betsy Dillingham; to daughter Zilpha Oates; to daughter Harriet Gough; to daughter Nancy Campbell and her orphan sons John Campbell and William Campbell. States his sons Jethro, William and Oates, having been given their share heretofore. Exrs were wife Zilpha Oates, Richard M. Oates and Vachel Dillingham. Wits:Ezias W. Farle and Robert Williams