To quote from the site:
'Rembrella is pleased to support Royal British Legion Industries (Aylesford, UK) from sales of The Poppy Umbrella. The Poppy Umbrella has no connection with the Royal British Legion Poppy Appeal.'
This indicates that the umbrella is the Poppy Umbrella and not the Royal British Legion Poppy Umbrella, FJJP, even though its designer Graham Parker was inspired by the poppy fields of Flanders. But they do donate about 45p per brolly to charitable causes.