The name Kwame is a boy's name of African origin meaning "born on Saturday".
The Akan people of Ghana and the Ivory Coast frequently name their children after the day of the week they were born and the order in which they were born. Most Ghanans have a name using this system (think Kofi Annan, whose name means born on a Friday).
Kwame is the name for boys born on a Saturday. (The name for girls born on a Saturday is Amma).