The name means tree gardner. German families with the surname "Baumgartner" are found in southern Baden, in the county of Waldshut, especially in the Rickenbach district. Our ancestor with this surname lived in southern Baden in the late 17th C. and early 18th C. She is a direct-line ancestor.
The (-2G) etc. ID after the names tell how many generations back from Erven Thoma and his siblings. The asterisk marks a direct-line ancestor.