The blend of varieties in various shades of red will be launched for the 2016/17 season, with the Royal Hospital receiving 25p for every packet of 20 seeds priced at £1.99 the Suffolk seedsman sells.
Staff at Mr Fothergill's were asked to nominate their favourite names and the top three were Lest We Forget, Remembrance and Scarlet Tunic. The company is now asking members of the public and the Chelsea Pensioners themselves to vote for one of these three names.
To cast a vote online, visit Mr Fothergill's on Facebook or Twitter and comment on its posts to state a preference.
The closing date is 29 February 2016. The winning name will be announced by 15 March 2016.
Since 2014 Mr Fothergill's has donated 25p for every packet of seed it sells of poppy Victoria Cross. To date the Royal Hospital has received more than £39,000 from the promotion.