The name Brenna is an American baby name. In American the meaning of the name Brenna is: Raven. The name Brenna is an Irish baby name. In Irish the meaning of the name Brenna is: Beacon on the hill Little raven. Numerology. People with this name have a deep inner desire for a stable, loving family or community, and a need to work with others and to be appreciated. People with this name tend to be passionate, compassionate, intuitive, romantic, and to have magnetic personalities.