Not much info to share, (And I realize that this is a VERY old post!) but my great-grandmother was Alice C. Arnesen. Her death record here in California says that her mother's maiden name was Lambertson. She married John Henry Howard and at some point, moved to San Francisco.
I remember her talking a bit about Lake of The Woods so I am fairly certain this is the same family. I do have one great-aunt still alive and could ask her questions or ask for photos. Don't know what's been saved...
Best regards from California!