Board Thread:Skyrim/@comment-12599067-20130928060857/@comment-25146201-20131002211421

Amongst the few remaining Snow Elf survivors, they prefer the name Snow Elf over their original name of Falmer, as that name tends to refer to their now degenerated brethren, which after the Dwemer betrayed the Snow Elves and enslaved them, they call "The Betrayed".

Taken from the wiki, notice how it says "Original name".