The name Maceo apparently translates as 'gift from god' and originates from Spain - being the origin of the English name Matthew.
There's no wonder where the pair got their name inspitation, with not only Olivier's father being Spanish, but Halle, 47, also making clear that the latest arrival was a 'miracle' considering her age.
Berry gave birth on Saturday at Cedars Sinai Hospital in California, where many celebrities have given birth before, and also where famous faces such as Frank Sinatra, Elizabeth Taylor and Brittany Murphy have died.
Halle already has a five year old daughter, Nahla, with ex-boyfriend Gabriel Aubry - with the little girl said to be delighted at the prospect of a sibling.
The Die Another Day star, who was immortalised in the scene in which she emerges from the sea in a tiny bikini, married Olivier in July this year in his native France.