[Reece]

Take the speaker out and check to see what exactly is rattling. Sometimes it might be the outer cone surround, or the inner spider closest to the voice coil, that needs regluing. Not sure how your speaker was redone, but many have a felt disk covering the voice coil and pole piece. Remove that and check all around the gap with a piece of paper...should slide all around without binding. Move the cone in and out with fingers and thumbs of both hands and listen carefully to see if you hear the v.c. rubbing. You can try shimming with several narrow pieces of business card or the equivalent all around the gap and then dampen the cone well and let it sit upright overnight to dry. It might recenter itself. If that doesn't do it you might have to loosen the spider glue with acetone, shim the gap, and reglue.