Al,
I can tell you a little bit. I think the Imperial Two Point series was introduced about 1938; at any rate that's the first year it's in the trade price lists, and in the trade brand directory. It continues to be listed in the brand directories through 1962, although when it actually was withdrawn from production is unclear to me.
Price-wise, in the early years it was a notch down from the Imperial Royale and the Super Imperial, let alone the Imperial de-Luxe. It was on par with the Imperial Old Bruyere and Imperial Old Bruyere Sangrain series. In point of fact the Two Point was initially likewise listed in the trade price lists as a sub-model of the Imperial Old Bruyere. Other such sub-models included the Imperial Old Bruyere Hard Grip series, and the Imperial Old Bruyere Windjammer. Around 1949 the "Old Bruyere" part was apparently dropped from the name, and it became just the Imperial Two Point. Price lists can be chancy, and to verify this relatively obscure point I'd need to refresh my memory on what contemporary advertisements said from the late thirties on.
In any case, as a selling point the Two Point series was originally advertised as having a "Special Lip and unbreakable Push".
It's probably worth noting in passing that in general the Imperial pipes were priced substantially less than the Civic ones; still cheaper were a variety of pipes offered without either the Civic or Imperial name.
Jon