To Sonja Jenny Porter
You written that your ancestors name was Lars Johan Stark (Detterberg) and that he was born 1850
For me it sounds like he was a soldier or a soldier's son. This because otherwise he had have a patronymicon, his fathers name + son ex Larsson. As there was so many -son names and when the men became soldiers they changes otherwise when the asked for Larsson, maybe 10 soldiers would have had that name. They had to know who was who. More about the swedish military system you can read at Hans Högman's website.
The name Detterberg, when did Lars got that one. Here in Sweden or in US?
The wife of Lars, Batti Josephina Johansdotter, did they married 1876 in Sweden or elsewhere?
Batti isn't a swedish name so probably there is a name she got in US.
/Annelie