Hi Shirley, there is one volunteer on Random Acts of Genealogical Kindness, www.raogk.org, choose Oregon, choose Harney County, who does public recors lookups and copying but I don't know if that include obits or not. You could ask her.
Otherwise, contact the University of Oregon, http://libweb.uregon.edu/general/gethelp.htmhttp://libweb.uregon.edu/general/gethelp.htm . They charge $30/hr for research and a $7.50/obit minimum which is what they charge me when I requested one.
Another source is the Oregon Library System, www.oregonlibraries.net and choose Harney County. The charge seems to run from $5 to $15/obit. Successful Hunting!