The story in the Yelm paper about the future of the branch there had a bit of a mistruth:
Funding a facility for the Yelm Timberland Library is entirely up to the City of Yelm come 2012.
This may be easily assumed because its the policy of Timberland not to own facilities inside the cities in the district. But, there is a third option for funding and owning libraries beyond just TRL and a city.
Library capital facility areas allow for the funding of a library building to move beyond city boundaries. These funding mechanisms are set by a public vote and are managed on the county level, not the city. From what I’ve read, a city to get the ball rolling on something like this, but the taxing district can move beyond city boundaries and is managed by the county.
The end of this document has a great rundown on LCFAs.