We all have trouble keeping up with the botanists, Masud.
Use the names you find in your reference materials and we'll move them if we find that they're now synonyms of other names.
I've moved your three photos to Ipomoea purpurea.
Moving on to your other problem:
"my problem is that sometimes i find the Database common names listed alphabetically first, sometimes botanical names. I get stuck when i come across common names. Ipomea has 33 pages of listings, thirty three pages of common names. When i went looking after the above post, they were listed botanically."
Common names are never listed in alphabetical order in the database. Cultivar names are listed alphabetically, but they're preceded by an alphabetical list of the species and subspecies. I suspect you had a problem because you didn't ask to see all of the plants in the genus. If you type Ipomoea into the search space, you'll arrive at a page listing all of the Ipomoeas in order of popularity (I think).
http://garden.org/plants/searc...
When you get to that page, you must click on the line asking whether you want to view all the plants in the genus. After you click on that line, you'll arrive at this page. This is where you would want to be, I suspect:
http://garden.org/plants/brows...
The species are listed alphabetically on the first few pages. If you're looking for a particular cultivar, use the letters at the top to arrive at those pages. If you're on one of the letter pages and you want to go back to the species pages, clicking on zero (the "0" following "Z") will take you back to the first page.