Hi, There is a volunteer(s) at Random Acts Genealogical Kindness who will look up obits. Go to www.raogk.org, read instructions, choose Oregon, choose Josephine Co.
There may not be an obituary since her survivors were her children and because of when she died.
I looked up her surname in the Oregon State Archives (http://genealogy.state.or.us/) and a Mary Brannandivorced a John Brannan Nov. 29, 1899 in Jackson Co. You can go to that web site, enter the Brannan surname and a short description will appear. Click on the Contact Us button and you can obtain more information from the State of Oregon Archives. Successful Searching!