This game was a joint effort by 3 Valencians, Francí de Castellví (Royal bartender and Royal steward), Narcís Vinyoles (auctioneer and gov. accountant) and Bernat Fenollar (an Ecclesiast and frequently published poet). The game itself was proably manufactured and is the basis of the poem "Eschacs d’Amor" ("Chess Game of Love"), written sometime between 1470-1490. It's not the first extant recorded game of chess, but it is the first one incorporating the "scacchi alla rabiosa," "le jeu de la dame enragée," or the "mad queen chess" - a queen with the moves we use today (as well as the option of moving the pawn 2 squares on the first move).
In the 576 lined poem Mars (Castellví) is playing Venus (Vinyoles) for her love in a game of chess while Mercury (Fenollar) arbitrates. All three of these men were active members in the literary and chess circles in Valencia and because of that a lot is known about them and because a lot is known about them, this work is a key element to understanding the origins of modern chess.
The game contains 21 moves for white and 20 for black - a ply count of 41. The poem contains 21 stanzas: Mars with the red pieces, has 21 stanzas; Venus with the green pieces has 20; Mercury, the arbitrator, also has 20 stanzas; there are 3 introductory stanzas - totaling 64 stanza (9 lines each, totaling 576 lines).
Here is the game in the original Catalan
Here is a beautiful page with the English translation and explanation.
Here is an article I'd written on this and other early chess poems and poets.
Here is the first game in the Chessgames.com database; dating from 1475, it features a poorly calculated tactical battle from the Scandinavian defense. There is some debate about whether the players were considered "patzers" in their own day, of if they were actually decent players in a time when the game had not been explored very deeply.