to clear things up..
The whole Alicorn/Allcorn Thing
It's called "Alicorn" and it's only the name of the horn of a unicorn.
(
http://www.allaboutunicorns.com/alicorn.php)
Pegasus
Pegasus hasn't any horn. Just two wings. Nothing more.
(
http://en.wikipedia.org/wiki/Pegasus)
Kirin/Quilin
Looks a lot different than a Unicorn.
(
http://en.wikipedia.org/wiki/Qilin)
Pegacorn/Pegcorn etc....
doesn't exist or there isn't any evidence to an existence.
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That's just what I found out after 1 hour of research.