The Kentucky birth index lists Floyd Hall, born 30 May 1916 in Breathitt Co. (a misindexing of Rowan Co.
11), mother’s maiden name Mary Burton.
(This is one of those records where a stillborn or unnamed child is indexed under the father’s name.)
Her death certificate records a stillborn girl, born and died 30 May 1916 in Rowan Co., father Floyd Hall, mother’s maiden name Mary Burton, both born in Kentucky. For some reason that I can’t figure out, Ancestry.com has indexed this under the name “Alice Stillbirth”, although I cannot see the name Alice anywhere on the form. (The name field just says “Still born”, and the gender field says “Girl”.)