Many public libraries provide access to health resources
For example Washington County (Oregon) public libraries have access to all of these health resources
Access: most resources are available online but some you need to come into the library to use
To access: sign up for a library card
Each state maintains a "State Library".
One thing most state libraries do is license databases and other electronic resources for their citizens.
For example in the state of Oregon you can access many databases from Gale
You can use the link below to locate the state library of your state. If there is no obvious link search "statewide databases" in search box