Hello Donna,
I was intrigued by your question, and although I haven't done any searching in Spainsh archives, I thought I'd start looking around. Here's what I came up with.
El Ministerio de Educaction, Cultura y Deporte of Spain has a great website that lists several important archives. Some of them are thematically related (Civil War, for example) while others are geographically organized.
There didn't appear to be anything specifically about Asturias on the opening page, but when searching around their site, I found the
Bibliografia de Archivos which allows you to search by key word for the title. When searching "Asturias," I found:
Archivo Histórico de Asturias
c/ Águila, 10
33003 - Oviedo
Tlf. 985/22 57 69
Fax. 985/21 43 28
You can see their general holdings by searching them at the Ministry's website.
In addition, the Minister of Education has recently made a huge effort to have Spanish governmental sources available via the Internet. The result is AER,
Archivos Espanoles en Red. I didn't surf the site, but you might find some useful information here as well. You could at least ask for direction from these folks.
Regarding your question about Spanish genealogical sites like Ancestry.com, I did find one
La-Genealogia.Com Their forums don't seem very active, but you might get some information by posting here. The site is bilingual, but isn't so well established. There are no databases connected with it except for a database of sirnames. I’m thinking that as time passes and it becomes better known, it could be an important site.
There's also
Anillo de Genealogía Hispana and
Genealogía española that have several possibilities. I didn't have time to search through these thoroughly, but wanted to give you an idea of some of the sites that are available.
If you, or anyone else, would like to do a review of one of these, or other similar sites, I think it would be most useful to us all. Please feel free to post, share what you find, and give your thoughts about the resources available.
Hope this helps!
S.