Ancestry.com recently updated its Swedish Church Record Collection. The database is not searchable based on name (ever tried reading those old Swedish church records?), but you can search to determine what villages are included.
Ancestry.com also has an indexed collection to Swedish birth records 1880-1920.
They also have emigration lists from Gothenburg from 1869-1951.
We'll do a search for my children's two Swedish immigrants in the early 1880s and post their emigration information later today. Stay tuned!