In Mancala, can you pick up the stones if your last stone lands in a hole that isn't empty?
I also grew up playing that way, and I was surprised to find out that the "standard" rules are different! I found a variant that fits that description: Kenyan Bao with laps.

"This version of Bao features "laps". When the last seed is sown, if it lands in a hollow with other seeds, the turn continues - the player picks up all the seeds from that hollow and continues to sow them."

I found it on this website: http://www.mastersgames.com/rules/mancala-rules.htm

There are so many variations of mancala; I'm sure this isn't they only one with those rules.