Over the course of the 1930s Hall & Fitzgerald began to use "Clifton" as an umbrella brand for their pipes. To start with, from 1930-33 the Clifton name was only used for one pipe, the Clifton De Luxe. That was a moderately priced offering at just 3 shillings 6 pence. Many other pipes were sold by H&F, of course, just not under the Clifton name.
In 1934 H&F began spreading the Clifton brand over several other pipes, including the Clifton New Age and the Clifton Vintage (both priced at 5/6), and the Clifton Certex sold at 3/6. The next year they began moving the Clifton pipes higher up in their line; in 1935 they added the Clifton Classic, priced at 7/6. They did the same thing in 1936, this time adding the Clifton Extra Quality priced at 10/6.
By 1938 the Clifton line had expanded from five pipes to eight when H&F added a Clifton New Age Phantom Streamline at 5/6, a Phantom at 2/6, and a Phantom Streamline at 2/6.
By the time the war broke out yet another four pipes had been added, including a Clifton Golden Grid (Super Grade) at 5/6, a Golden Grid Rustic and Standard each at 3/6, and a Service at 2/6.
H&F disappeared from price books during the war; not uncommon since many manufacturers failed to see the value in advertising goods that the consequences of the war prevented them from making (e.g. briar and vulcanite supply issues; production redirection to support the war effort; etc). But by 1949 the Clifton line had re-emerged, although significantly pruned back; this pruning perhaps reflected both the fact that briar was still hard to get, and a general decline in pipe smoking that was beginning to be felt in the UK and abroad. At any rate by then the Clifton brand was reduced to the Classic, now priced at 30/-, the New Age (25/-), the Dental Deluxe (3/-), the Golden Grid (2/-), and a few others.
You'll notice no "Corniche" in all of this. The price lists I consulted only go up through 1954, and the Clifton Corniche had yet to make its appearance in that time period. This is certainly consistent with the 1960s dating on the pipe suggested by the seller.