Alpha Centauri is Rigel Kentaurus, a double star, as far as I know there is not another star that near, no red dwarf, as you would not see a red dwarf anyway.
Proxima Cenauri is over a thousand astronomical unites from Alpha Cent, at 11.5 mag and about a couple of degrees away would not be visible in the field of view of your scope.
What you probably saw was an artifact in your scope caused by the optics and brightness of the stars.
I note that you did not mention a scope , so if you saw it with the naked eye it was probably your focus on the object as you cannot split alpha Cent without an optical aid.
Hope this helps.
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