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Peter
I can't find anything etymologically for the link to 'fare' but a couple of references to 'fair':
WritersEvents.com
fayre (nostalgic)
noun fairs, fayres
1. A collection of sideshows and amusements, often set up temporarily on open ground and travelling from place to place.
Thesaurus: carnival, fête, festival;
2. historical
A market for the sale of produce, livestock, etc, with or without sideshows.
3. An indoor exhibition of goods from different countries, firms, etc, held to promote trade.
Thesaurus: bazaar, exposition, show, exhibition, gala, bourse, market.
Form: fair (only)
4. A sale of goods to raise money for charity, etc.
Etymology: 14c: from French feire, from Latin feria holiday.
and a 1613 poem by John Dennys "The Secrets of Angling", the earliest English poetical tract on fishing:
And thou sweet Boyd that with thy watry sway
Dost wash the cliffes of Deington and of Weeke
And through their Rockes with crooked winding way
Thy mother Avon runnest soft to seeke
In whose fayre streames the speckled Trout doth play
The Roche the Dace the Gudgin and the Bleeke
Teach me the skill with slender Line and Hooke
To take each Fish of River Pond and Brooke
As for Brewers Fayre that will be Whitbread trying to create an old fashioned atmosphere in a modern box having sold off their estate of truly old fashioned buildings!