GIMP :: Cannot Fill A Path

I've created a complicated polygon (hundreds of nodes) with the Paths Tool and am trying to fill it. When I select the Bucket Fill Tool, I get a tiny little error message at the bottom that reads: "Cannot modify the pixels of layer groups". Now then, I do have a Layer Group in the Layers tab to collect text items, but this is a Path in the Paths tab (which I thought was separate).

I have tried switching the path from Stroke to Selection, but it doesn't seem to make a difference.

In the past, I've used Fireworks (mainly), Photoshop, and Illustrator with varying degrees of success.