I go to the Tacoma Public Library about once a month with a list of ten or more names to look up. The more information you provide to me, the easier (and faster) your request will be filled.

Here are some things to note.

Family trees list people by their maiden names but Send me the name of the person at the TIME OF DEATH.
Don't assume I know nicknames. If Uncle Frank's real name is "Francis Joseph Smith", then send it to me that way--not just "Frank Smith".

Don't bother entering your relative's full name and DOD, just start a new search and enter the last name in the top field and search. For some reason some people won't come up when you correctly search for their full name and date but will come up when searching by last name only. AND you may find other relatives this way.
http://search.tpl.lib.wa.us/obits/

Did your relative die in 1995 or later? Use this search and you may find the obit yourself:
http://www.southsoundclassifieds.com/Obits/

And this site is just a general-all-round search for state of Washington and you never know what you may find.
http://www.digitalarchives.wa.gov/