I found a solution and it works well. I ended up using some freeware called Handbrake to create the MPEG-4 files with chapters. The MPEG-4 videos can be played on a Computer, Smartphone, or Tablet.
Step 1: Create your Adobe Premier project with chapter markers
Step 2: Use Adobe Premier to create a DVD ISO folder of your project
Step 3: Use the Handbrake program to create an MPEG-4 file from your DVD ISO folder
You will want the MPEG-4 files to have an extension of .m4v (not .mp4), so that they will play on Apple and other devices. Use the iPad setting in Handbrake which gives you 640x480 output.
In Handbrake:
Click Source
Choose Folder d:\Home Movies in DVD iSO Image Folders\1966 Home Movies
Under Preset, choose iPad
Click Start to encode the video
You now have a MPEG-4 version of your video that you can play on your iPad, iPhone, Android, Computer, or other devices.
