The Residential Landlord Tenant Act (RLTA) is at RCW 59.18.
The eviction process is called an "unlawful detainer" action.
An action for "nuisance" is an entirely different action in tort.
Catholic Community Services Legal Action Center provides some assistance with Landlord/Tenant problems sometimes. http://www.ccsww.org/site/PageServer?pagename=housing_legalactioncenter
[In accordance with the Avvo community guidelines, this communication does not constitute "legal advice", nor does it form an attorney-client relationship.]
A three day notice for nuisance is one of the more difficult ways to remove a tenant. A 3 day notice for nuisance almost requires and illegal activity defined by the Washington criminal code, or an actual arrest. That notice must be made with very specific details and very specific times. It is always highly recommended to not use a nuisance notice but instead look for another way.
An important question is whether or not she is a tenant. Does she pay rent? Is there some type of agreement that you have worked out by which she earns her keep (dishes, pays water bill, etc)?
This answer is for informational purposes only and should not be construed to establish an attorney client relationship. Before taking any legal action, it is always advisable to discuss your specific situation with an attorney.