If it's double feeding on just the first couple rounds out of the magazine it's the cartridge ramp spring. That's the V spring in the top of the frame just behind the breech block opening that pushes down the cartridge ramp. If it's double feeding every round, it's probably the stop rib in the lower breechblock. That's the saw tooth along the center line of the lower block.
One other possibility, is your magazine spring a replacement? If it's a lot stronger than the original that can cause the problem too.
Unlike some later tube magazine repeater, such as the Chafee-Reese, Spencers don't use mechanical stops in the magazine. It's a balanced spring setup.