The two most relevant programs would probably be the legal aid society and the state bar’s modest means program. Legal aid is usually where most of the pro bono work in a state goes through, although sometimes the state bar might have their own program too. It’s also geared towards people whose income is low enough to qualify for public assistance. The modest means program just acts like a subsidy, so you still have to pay a big portion of the lawyer’s fee, but a lot more people qualify for it.
Here’s the Oregon legal aid website: http://sites.lawhelp.org/program/694/index.cfm
And the Oregon Bar’s Modest Means application: http://www.osbar.org/public/ris/
Stopping in to talk to the people at the legal aid office if there’s one near you would probably be a good first step since even if you don’t qualify for their programs they could probably point you in the right direction. They may also be able to point you to some resources for doing your case pro se, which might be a reasonable option if your situation isn’t too complicated.