Israeli Meaning: The name Aleah is an Israeli baby name. In Israeli the meaning of the name Aleah is: Immigrant to a new home. American Meaning: The name Aleah is an American baby name.In American the meaning of the name Aleah is: Immigrant to a new home. SoulUrge Number: 7. Expression Number: 9. People with this name have a deep inner need for quiet, and a desire to understand and analyze the world they live in, and to learn the deeper truths.n Israeli the meaning of the name Aleah is: Immigrant to a new home. American Meaning: The name Aleah is an American baby name. In American the meaning of the name Aleah is: Immigrant to a new home.