Multnomah County is among the defendants in a pair of federal lawsuits challenging Oregon's 2004 ban on same-sex marriage. Right now, because of that ban, county officials have a policy of saying no to any and all same-sex couples seeking a marriage license.
But just like the attorney general's office—which announced last month that it won't defend the state's own ban on the grounds it violates the federal constitution—county officials today put their own opposition to the ban on record (pdf)
Of course, as noted in that legal filing (pdf), it was the county's decision to start recognizing same-sex marriages in 2004 that helped lead to the state's prohibition. It says it really, really, really wants to start doing that again.