If you can't find a print edition of the newspaper in your local library, you can still get read current news online via NewsBank. You may go directly to The Oregonian, or visit the main NewsBank Access World News page and choose from a variety of newspapers with full-text articles.
Coverage for The Oregonian online ranges from 1987 to present. If you're seeking articles or obituaries from earlier dates, Vancouver Community Library houses microfilm for the paper going back to 1985.
Need to go further back? Multnomah County Library offers the Historical Oregonian for years 1861-1987, and you may contact them directly to create an account for access.