The Three Swans in Market Harborough is a famous inn also. There is even a book by a past proprietor, John Fothergill, called "My Three Inns". Perhaps it didn't make it onto this tin because many inns have signs with swans. The top of this tin is shown on an accompanying video.
The names of the inns:
The Load of Mischief, Blewbury, Berkshire
The Golden Hind, Plymouth, Devon
Charles XII, Heslington, Yorkshire
White Hart, Witley, Surrey
The Discovery, Cardiff, Glamorgan
The Bull Ring, Ludlow, Salop (Shropshire)
Great Western Arms, Warwick
Trinity Foot, Cambridge
The Fox and Hounds, Barley, Herts
The Ram Jam Inn, Stretton, Rutland
Smith's Arms, Godmanstone, Dorset
The Glocester Flying Machine, Brockworth, Glos
Three Kings Inn, Threekingham, Lincs
The Shoulder of Mutton and Cucumbers, Yapton, Sussex
The Drunken Duck, Hawkshead, Lancashire
The Talbot, Worcester, Worcestershire
Queen Elizabeth, Forest Side, London E4
The Beacon, Bromley, Kent
Hopcroft's Holt, Steeple Aston, Oxford