I don't know if this represents any information you do not already have but in searching the Central Soldiers Register (
http://soldat.dis.se/soldater.php?lng=en) I found a record for a soldier named Anders Olofsson Wängman (pronounced in English as if spelled Wengman). He was part of the Hälsinge regiment.
Document number: HR-00-0901-1713
Wängman, Anders [Olofsson]
Regiment: Hälsinge regementet
Company: ALFTA KOMPANI
Parish: Alfta
File: Runnemo
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