Greenham Stakes
Connaught made good progress in the winter of 1967/1968 and was expected to run well in his seasonal debut in the Greenham Stakes but again refused to enter the stalls and did not take part. Despite his temperamental problems he was well backed for the 2000 Guineas and started at odds of 13/2 but after showing good speed in the early stages he faded to finish ninth of the ten runners behind Sir Ivor. When moved up in distance for the Chester Vase over one and a half miles he showed better form when finishing second to Remand.