Thank you LadyBeGood and Summerset. Also thanks to Juliet W who sent a personal email. I have solved the issue and the skirt is almost complete.
Since the skirt does not have a side seam but side darts that serve as a side seam somewhat, the zipper has to be inserted in the left side at the open dart area. Summerset, it did require a bias strip to be used as a facing on the overlap part. That was easy enough to do. As was folding over 1/4 inch on the other leg of the side dart to sew to the right side of the zipper, with zipper facing up. I then stitched the other dart leg with bias facing attached to the left side of the zipper again with zipper facing up. This creates a lapped zipper.
It was the stitching of the bottom part of the zipper that created the unusual pucker after stitching. Using Juliet's suggestion, I removed the zipper and started over. I stitch the bottom part of the ending point of the dart up to the opened dart part, then reapplied the zipper as stated above. This helped the zipper lie flatter and the unusual fold at that part now does not pucker out.
Sorry the camera batteries are recharging and hopefully will take photos later this week to help this be more visual.
The great thing is that I appreciate the support given here as well as to my personal email.
Sewing bloggers are so talented and so helpful. Thanks again!