Hey John, Baba is the mid wife who delivered the child.
For Marie's father...
Joseph Stefl of Obora, House 19, born Zebnice House 4,Plaske town Kratovice Kraj, Plzensky, son on Anna Steflova who is daughter of Bernard Stefla, chalupnik (farmer) of Zebnice H. # 4, and his wife Katerina Blahova
(Blaha) H. # 14. This means that Joseph was illegitamate (no father listed).
For Marie's mother...
Maria Lukeskova, daughter of Jan (John) Lukeska domkar (cottager) of Oboro, # 19, his wife Anna Kroftova sedlak, born Obora #19, by Plaske okres (town) Kralovicky Kraj, Plzensky.
ps, I'll look for Joseph birth to confirm legitimacy.