Both the Eureka Transit Service and Redwood Transit buses both stop near the Eureka Main Library.
Redwood Transit
Redwood Transit buses heading North stop at 5th and O streets in Eureka. It's a walk of four or five blocks to the library, crossing the highway at both 4th and 5th. There are crosswalks but no traffic lights at those intersections. Each features three lanes of fast-moving one-way traffic; it is not an easy crossing.
Heading South the stop is called 5th and O (the former Greyhound Station) on the schedule. The southbound stop is actually located at 4th and Q. The walk from 4th and Q is short and easy, about three blocks, crossing smaller streets at crosswalks.
Eureka Transit Service -- Purple Route
The closest city bus stops now are Purple Route stops at 6th and O, at the Adorni Center (Waterfront & L St.) and at 3rd & T.
The Adorni Center stop means a walk of perhaps three blocks on quiet streets to reach the library. One block of this route goes up a fairly steep hill (from the Adorni center to the Carson mansion.)
The Third & T stop is about five blocks from the library with no hill, and one busy street to cross (R Street.) There is a crosswalk.
The 6th and O stop means a walk of four or five blocks to the library, crossing the highway at both 4th and 5th. There are crosswalks but no traffic lights at those intersections. Each features three lanes of fast-moving one-way traffic. It is not an easy crossing.