Soon after the Apple iMac (flat panel) was introduced there appeared a
stand for the iBook laptop. It was a hemisphere with a little shelf on
top. I remember seeing photos on the web. I can find no references to
it now.

(When you put your iBook on top, it emulated an iMac: the hemisphere
was the right size and the screen was at the same height.)

Can you point me to any information?

Thanks,
--Colin

I am confident that you're referring to the "Lapvantage," which is
described by its manufacturer as "the ergonomic laptop stand."

Lapvantage
http://lapvantage.com/products

If this is not the product that you seek, or if you need additional
information, please request clarification; I'll be glad to resume the
quest.

Best regards,
pinkfreud

Exactly what I was looking for. Thanks.

--Colin