This grower is sure of this plant identification.
I'll be digging these up at the end of the month (Oct) in my old garden to bring them here, so let me know and I'll bring more!
Lily-of-the-valley, May lily, Our Lady's tears
Convallaria majalis (Lily-of-the-valley). This is a very popular, low-growing species , which is rich in fragrance. They will bear pendent delicate white, bell-shaped flowers amongst the large oval, dark green leaves in the mid spring. The small dark red berries will appear later.
Ground cover, fragrance, cutting bed. Orange red berries in autumn. Whole plant is poisonous if eaten.