Hi CES, the last viewable Census to the public at this time is the 1930 Census. Therefore, it's more difficult to find info after that Census. I'd check the following two web sites & try to find out additional info; http://freepages.genealogy.rootsweb.com/~bryajw/HoodRiver/index.htmhttp://freepages.genealogy.rootsweb.com/~bryajw/HoodRiver/index.htm and www.rootsweb.com/~orhoodri/.
Since you know she was married in 1941 in Portland which is Multnomah Co., I'd try to get a copy of her marriage license which might list her parents. I'd contact the Genealogical Forum of Oregon, www.gfo.org and see if they do that sort of research. You need her marriage cert # to order a copy of it.
I did find a Lillie Myers b. abt. 1918, TX living with her family in 1930 in Precinct 3, Denton Co. TX. Parents were John & Maud & there were several siblings but don't know if this was your Lillie or not. Successful Hunting!