You can find a great deal of information using the Swedish parish records. They are online, for a fee, on these sites. (Ancestry.com's world edition also has scanned Swedish parish records, but if you aren't already subscribed, the other services are much better.)http://www.genline.comhttp://www.svar.ra.sehttp://www.arkivdigital.net
The records are not going to be indexed. The scans are from the parish books used by the ministers. You already have enough information to get started, however. ;-)
I suggest that you obtain the bouppteckningar (estate inventories) for the people found on the death index. Those will name living children at the time of their death. Then ask for lookups for any additional children you find in the parish records. Eventually you will get to generations which are likely to be still alive. At that point, ask for lookups on the cds for 1870, 1980, and 1990. The information from those cds will allow you to use the online sources which provide addresses, etc.
There are birth, marriage, and death records available online (unindexed by name, of course) on SVAR and Genline (and presumably the world version of Ancestry.com. Arkiv Digital tends to scan the original records and the other services do that too, but the b/m/d records are extractions from the original records sent to Stockholm for statistical purposes.
The services have many of the same records but they also have records not available on the other services. You should make sure the parishes you need and the time periods you need are scanned by a particular service before you join.
This tells about the estate inventories.http://researchingswedishroots.blogspot.com/2012/03/estate-i...