My father Ronald M. Mckee is the son of William Arthur McKee which is the son of Austin & Laura Mckee.My cousin (Ronald Mckee's brother's daughter) gave me the following information, that almost matches your information.I am sure this is the same family, but my information on Jennie cannot be correct.
Here goes (her version): Austin & Laura E. McKee or McKey had 4 children-Laura Ethel, William Arthur, Jennie B. and Winnie.Laura ethel married Fred Gamble, William Arthur married Reika A. Southern, and Winnie Mae married Bud Thompson and Arthur Hulsey.Austin and Laura and Jennie B. (Pearl), died of a flu epidemic some time between 1900 and 1905 and are suppose to be buried somewhere in Newton County, ARK.
The following is from a 1900 Perry co. census: 38-Austin McKeyAugMs 29-Laura E.NovMo 11-Laura EthelJulyArk 9-William AAugArk 7-Jennie B.Sept.Ark 2-WinnieAugArk