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According to Bulbapedia, Hayley (the rancher) will offer for trade from the following on occassion:

Pikachu, Vulpix, Ponyta, Lickitung, Tangela, Eevee, Aerodactyl, Yanma, Miltank, Shroomish, Wailmer, Wynaut, Staravia, Combee, Pachirisu, Shellos, Buneary, Croagunk, Finneon, Snover

All of these will have something unique, either a TM move, Egg move, or something else that makes them 'special' like an event Pokemon. Hayley will trade Phione (Grass Knot, Rain Dance, Rest, Surf) for a Leafeon once you have 250 Pokemon on the ranch, and Mew (Synthesis, Return, Hypnosis, Teleport) at 999. Hayley's Pokemon are in the event Cherish Balls, not the standard Pokeballs.