Given the popularity of genealogy today, most libraries have manuals and guides that provide basic information about research methods in genealogy; and many also hold more detailed or specialized works on particular aspects of genealogical research. Libraries often have extensive collections on local histories, biographies, and newspapers; and may have census records on microfilm pertaining to locality.
Libraries provide access to databases for many specialized resources such as newspapers, biographies, encyclopedias and periodicals. A library's collection of books, periodicals and electronic databases provide not just facts and figures, but give you context for your research.
If a library does not have the resources you need, the librarian can often obtain them through inter-institutional loan from other libraries for the cost of shipping.
If you cannot get to a library in person, look on its website to see if it has an "Ask a Question" service. Many libraries offer virtual reference services and will answer questions from clients based in remote or rural areas.