Meaning of redouble in Goren system?
Playing a basic Goren system the Redouble (of a Take-Out Double of an opening 1 of a suit bid) shows a hand of 10+ points. It tends to show a balanced hand as it suggests that Opener Double the escape by 4th hand if it is into a good 5-card  suit (or 4-card suit at the two level) in his hand, otherwise pass. It also tends to deny good support in Opener's suit for the same reason, as with a good fit Opener's side may find more profit in a Game contract than in penalizing the opponents.

The more strength there is in Redoubler's hand the more likely that it is short in Opener's suit, again because the likely profit in a penalty double increases from the potential mis-fit.

With sound support for Opener's suit the modern tendency is to make a pre-emptive raise: to the 2-level with 4-6 HCP and good 3-card support and the three level with 7-9 HCP and either a side-singleton or 4-card support and a doubleton. 

For the situation you described Fourth hand should have taken out the redouble: You scored a nice profit considering the opponents can probably make 8 or 9 tricks in a major themselves.