Family name Svart in 15th and 16th century

[Vesa Kasper]

I have been following Nils Nilsson roots down early 1600 and it seems name Svart appears here and there for him.
Project Runeberg or Elgenstierna study does not take this option on count.

https://sok.riksarkivet.se/bildvisning/C0300115_00353#?c=&m=&s=&cv=352&xywh=-464%2C-63%2C2339%2C1248

Anybody here who have record about this "Kapten i Savolax Infanterie Regment" in addition what web summaries already tell.
Svart seems to be pretty common name during those days which may indicate several different families or origin ?

Also I am interesting about if any original record of his son Herman childrens stay in Sweden during 1710...1720 war can be found.
Some net trees use Härnösand as location for stay but I have not found any original record to support this assumption.

Greatful for all feedback

[Vesa Kasper]

This might be challenging query, but if any records available which support Härnösand as earliest known location for Nils Nilsson roots