So I finally completed the quilt. Here are some of my steps:
Remember I started with a completed top, cotton battings, and a muslin backing.
Then, I put the materials in order to do a pillowcase quilt. I tacked them together to trim the materials and keep them neat.
I sewed around the perimeter of the quilt, leaving a 6 inch gap, removed the pins, and turned it right side out. I sewed the 6 inch gap together and re-pinned the layers to quilt squares in the material. Here it is completed: