I am not sure this bit of information may be of help to you. The name WYCHE cought my eye. You may find some sort of connection, if Harriett and Martha were the daughters of Wyche Brewer it seems that Harriett may name a son after her father.
1880 c Leake Co.,Ms. Beat 5Dist 52 230/253 WmOwens48 mala nctn Harriettwife42 falaga nc Jamesson10 mms ala ala Oscarson6 mmsala ala Lawrence son6 mms Wycheson4 mms Martha Brewer55 fala ga ncsister in law