For older 150's (such as my '59) the speakers originally in them were a "reverse driver" meaning the magnet, instead of being on the back of the cone and frame, like 99% of what you see today.... is located inside the cone, in the area where a small tweeter cone is found in some speakers. This was done to reduce overall thickness of the speaker. These speakers were used in 1950's station wagons in the rear, and for other automotive purposes.
Years ago, when I found the cone in my rotten, I removed it and sent it to a small one man shop I found advertising in Hemmings Motor News. He reconed automotive speakers for a living (or hobby, I'm not sure which) and had it reconed. Worked as good as new. He was slow, and it took several phone calls to get it done and back, but, where I'm going with this, is that I think you can still get cones replaced in antique automotive speakers if you search around, you can find someone to do it.
Charles