Bump. Is this a commonplace issue, or am I perhaps missing something obvious? Subsequent web searches have been fruitless. Both wheels have exactly the same problem as described in my previous post, so it would seem to me that there's something I'm not doing right, but try as I might I cannot figure out what that might be.

I've tried massaging the tire and tube with no air in it, or with only a little air in it, or with more air in it, and I simply cannot get the reinforcing patch to move over to let the bead of the tire sit properly. I'd be grateful for any words of wisdom on this.