Alby Is A Boy’s Name With Latin Origins. Meaning “from Alba,” This Cute Name Is A Wonderful Choice For Those Who Want To Pay Respects To An Albert, Or Alban. Alby Also Has Irish Connotations And In The Celtic Language Translates To “rock.” If You Or Baby Are Of Irish Origin, Alby Emits Powerful Images Of A Strength, Making It A Fitting Choice For A Baby Boy.