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Bump Wills: 35 SB in 1982
Another former 1st round pick was Bump Wills, a contact-hitting second baseman who spent the majority of his career with the Texas Rangers. Even though his big-league career was short (6 years in the majors), Wills collected an impressive 196 stolen bases and 35 of them came with his lone season with the Cubs in 1982. Unfortunately that was his last year in the majors and he played a couple more years in Japan before retiring at the age of 31. His 52 stolen bases in the 1978 season remains a single season record for the Rangers organization.
Brian McRae: 37 SB in 1996
Coincidentally, Brian McRae and Bump Wills have the same amount of career stolen bases at 196. McRae's career-high came with the Cubs in 1996 with 37 SB on the year. Over two-and-a-half seasons in Chicago, McRae amassed 78 SB with the team before getting traded to the new York Mets at the 1997 trade deadline.