 Apart from some early season games for MCC and A. J. Webbe's XI, all of Bosanquet's cricket in 1901 was for Middlesex. He maintained his faster style of bowling but also began to bowl slow leg breaks, with the as-yet unrecognised googly mixed in as variation. Later, he found he could not effectively maintain both styles and decided to concentrate on spin, gradually dropping his quick bowling. His bowling brought him 36 wickets at an average of 37.52 in 1901 but did not take more than three wickets in a single innings. With the bat, it took until July for him to pass fifty runs in an innings but his form improved in August with four fifties. He ended the season with consecutive centuries against Surrey and Essex. In total, Bosanquet scored 1,240 runs at an average of 32.63, and Warner regarded him as one of the three most reliable batsmen in the Middlesex side. After the season, Bosanquet went on his third tour of America, captaining a team himself. From January to April 1902, he toured the West Indies with Richard Bennett's team. He scored 623 runs at an average of 34.61 with five fifties and 55 wickets at an average of 15.47, including figures of eight for 30 in one innings. Bosanquet's cricket followed a similar pattern in 1902. He scored 749 runs at an average of 24.96, with a century against Cambridge. However, he did not pass fifty after the end of May until his last game of the season. With the ball, he took 40 wickets at an average of 21.17. These included 10 wickets against Oxford and 10 against Nottinghamshire; the latter performance, when he took seven for 57 in the second innings was described as remarkable by Wisden. It was the first time that his new bowling style attracted attention, although Bosanquet himself tried to play down the success for fear of alerting batsmen to his googly.
