Nice board, Brad. I think it's called Aggravation. We had one when I was a kid, but I have no recall of how it's played. Nice drawers too!
After looking at the game a while longer, it's sort of coming back to me. I think your 4 home color marbles are stored at the base of end of the arms (1-4 players). You roll a dice to get a 1 or a 6 to get out to the center start place on the track. You roll the die - go around the board, if you land on someone else's mib they go back home. your home is the center column of holes above your base after you've gone all the way around. It's like Sorry with marbles.