This is correct. I've seen it several times in my research of one of my lines. The man's name would be written "...... gen. ....." - gen. means "genannt" - to take on the new last name. In the case of "nee", the woman's name would be written "...... geb. ....." - geb. means "geboren" or nee in English.. Your Johann Bernard BOWING nee STUKENBURG and Mary Elizabeth BOWING nee DICKHAUS no doubt means that Johann Bernard was a Bowing who inherited a Stukenburg family farm. Was he married before to a woman named Stukenburg? Mary Elizabeth's maiden name was Dickhaus and then she became Mrs. Bowing.
Hope this helps!
Robin