Jimmy Collins - 1897
Another pre-1900 player makes the list in Jimmy Collins for his 132 RBI back in 1897. Fun fact, Collins wouldn't come close to repeating the feat as his next highest RBI total the rest of his career was 111 the following season. After that, Collins never drove in more than 95 runs in a season.
Gary Sheffield - 2003
Many fans seem to forget just how good Gary Sheffield was in his short stint with the Braves. His 2003 season was particularly good where he posted a 1.023 OPS with 39 home runs and 132 RBI. Sheffield would finish in the top 3 of MVP voting that season finishing behind Barry Bonds and Albert Pujols when they were at the height of their powers.
Tommy McCarthy - 1894
Heading back to the early days of Braves baseball, Tommy McCarthy makes the list for the 126 runs he drove in back in 1894. McCarthy had a pair of awesome seasons for Boston in 1893 and 1894 where he averaged an OPS north of .900 while also stealing 40+ bases each season. He was always a stolen base threat, but the rest of his career was pretty ordinary outside of those two seasons.
Billy Nash - 1893
The final member of the list from ye old days on this list is Billy Nash who put up 123 RBI back in 1893. Nash slashed .291/.399/.433 that season with 10 homers and 30 stolen bases which ended up being his best season as a professional. Nash did drive in 110 runs a couple of years later, but the 1893 season was his peak for sure.