The name Tallulah is a girl's name of Irish, Native American origin meaning "lady of abundance, or leaping water". Tallulah and is often added to lists like Attitude Names for Girls and discussed in our forums with posts like "Picky Parents - Sibsets Version".
From the experts:
As memories of the outragrous actress Talullah Bankhead have faded, this hauntingly euphonious Choctaw name has re-entered the public domain. A modern hipster favorite, it's been chosen for their daughters by Philip Seymour Hoffman, Patrick Dempsey, Damian Dash, Rachel Roy and Sara Rue, trail-blazed by Demi Moore and Bruce Willis for their now grown daughter. (Trivia tidbit: Bankhead's namesake was her paternal grandmother who, in turn, was named after the Georgia town of Tallulah Falls.)
When spelled Tallula, as rocker Simon Le Bon did for his daughter, it is also a traditional Irish name that was borne by two saints.