C# - Switch Between Databases / Use Two Databases Simultaneously?

I have a web site which uses one SQL database but the hosting company is very slow sometimes and I got database timeout, login and similar errors. Can I implement my code to use two databases simultaneously? I have stored procedures and the data is updated periodically.

EDIT:

Simply: When dbDefault is down and inaccessible I need to use dbSecondary so the web app keeps running. Ant these two databases must be always same.

EDIT:

Some errors:

A transport-level error has occurred when sending the request to the server. (provider: TCP Provider, error: 0 - An existing connection was forcibly closed by the remote host.)A network-related or instance-specific error occurred while establishing a connection to SQL Server. The server was not found or was not accessible. Verify that the instance name is correct and that SQL Server is configured to allow remote connections. (provider: Named Pipes Provider, error: 40 - Could not open a connection to SQL Server)
Timeout expired. The timeout period elapsed prior to obtaining a connection from the pool. This may have occurred because all pooled connections were in use and max pool size was reached.Cannot open database "db" requested by the login. The login failed. Login failed for user 'root'.