Well, now it looks like this.
This time I bought new 1 x 4 boards, and we routed the edges for a more substantial trim. I am also much happier with the natural finish rather than the white trim. There is a significant amount of wood cabinetry in this bathroom.
We learned a few things as we worked on this project.
1. Use the Liquid Nails adhesive. It works much better and keeps things from falling off at inopportune times. Once again, my sister has proven she is younger but wiser.
2. Make certain that your trim pieces are as flat as possible. Any warping can cause major problems since you won't be nailing them to the wall.
Total cost for the boards and adhesive: $13