Yun-ho Chun, CF
Chun was 23 at the beginning of the league and played very well for 9 straight seasons with the Texas Rangers. He won the 1903 MVP, 8 Gold Gloves, and one World Series. He was selected to 5 All-Star games. He is the current career record holder for At-Bats (8507), Runs (1123), and Caught Stealing (603). In his run through the 1909 season, he averaged 157 games played per season with his only serious injury a hamstring strain. Most of his time was spent with the Rangers but he did move around the league a little bit once he turned 36.
Career Stats: 9377 PA, 2011 H, 962 SB, .308 wOBA, 98 wRC+, 174.4 ZR, 54.3 WAR, 48.1 JAWS
Joe Ramage, RHP
Ramage was a 20 year old at Mississippi State in 1900 and won the inaugural NCAA Pitcher of the Year Award, once striking out 17 players. He was drafted 2nd overall by the Giants in 1902 and became the top prospect in 1903. He had a very good career, getting invited to 4 all-star games and providing top of the rotation value for 11 seasons. He was very durable throughout his career, starting 35 or more games throughout 9 of those 11 high value seasons.
Career Stats: 3176.3 IP, 803 BB, 1360 K, 2.48 FIP, 92 FIP-, 54.0 WAR, 45.8 JAWS
Rob Mosher, CF
Mosher did not win any Gold Glove awards for his work in CF, but he did win 10 Silver Sluggers. He also went to 5 All-Star games, won two World Series, and was the 1910 AL Championship MVP for the Astros. The 10th overall draft pick in 1902 out of San Diego State, Mosher holds the MLB career records for Total Bases (3292), Doubles (287), and Triples (324).
Career Stats: 8425 PA, 2306 H, 683 SB, .370 wOBA, 145 wRC+, -206.5 ZR, 45.0 WAR, 40.2 JAWS
Zhaire Daniel, RHP
Daniel had a short but productive career, playing parts of only 10 seasons but twice finishing in the top 3 for Pitcher of the Year.
On a side note, the game messed up Daniel's MLB service time somehow. He should have less that 10 years but it says 15. He did not exist in 1900 when the fake service times were put into place.
Career Stats: 1845.3 IP, 539 BB, 1047 K, 2.47 FIP, 87 FIP-, 35.6 WAR, 36.1 JAWS
Sherwood Conkel, 3B
Conkel was drafted 5th overall out of the University of Georgia in 1903 and became the Dodgers starting 3B in 1904. He had 12 productive seasons in the above average range, making 2 All-Star teams and winning the World Series once.
Career Stats: 8013 PA, 1929 H, .313 wOBA, 105 wRC+, -2.4 ZR, 36.0 WAR, 31.0 JAWS
Josh Fowler, C
Fowler was the very first draft pick in the very first draft. He was a 4-time All-Star, won a Gold Glove and a Silver Slugger and a World Series winner. He stayed relatively healthy in his career, playing 12 seasons with 10 of those as the primary catcher for his team. He retired at the age of 41 as one of the most productive catchers in MLB history.
Career Stats: 6673 PA, 1448 H, .293 wOBA, 91 wRC+, 26.4 ZR, 34.8 WAR, 29.2 JAWS
Kevin Caperton, LF
Originally from Hawaii, Caperton was drafted 3rd overall in 1902 out of New Mexico State. He made two all-star teams, won three silver sluggers, was the 1910 NL Championship Series MVP, and the 1913 NL Division Series MVP. He had a career year in 1910 with 5.7 WAR and was an above average player for 10 season. He retires with the 7th most hits in MLB history.
Career Stats: 8047 PA, 2064 H, .328 wOBA, 117 wRC+, 7.5 ZR, 30.4 WAR, 26.8 JAWS
Jonathan Hiatt, RHP
Hiatt had a few very dominant years, going to 4 straight all-star games and winning the Reliever of the Year award in 3 of those 4 seasons. He was drafted 18th overall by the Royals in 1902 out of West Babylon High School.
Career Stats: 689 IP, 214 BB, 448 K, 239 SV, 2.08 FIP, 77 FIP-, 34.4 WPA, 15.0 WAR, 24.6 JAWS
Jackson Fetzner, 2B
Fetzner was drafted in 1906 out of Stanford in the Supplemental first round. He led the league in walks four straight years and won the silver slugger each of those four years. He also went to one all-star game.
Career Stats: 5323 PA, 1149 H, .360 wOBA, 131 wRC+, -89.5 ZR, 21.3 WAR, 20.9 JAWS
Kurt Bridges, RHP
Bridges was part of the initial 1900 MLB season, pitching 40 games for the Cardinals. He won two World Series Championships, one with the Pirates and the other with the Phillies. He led the league in saves in 1911 as the Yankees closer and his 363 career saves are second only to Tim Beckman.
Career Stats: 997.3 IP, 310 BB, 413 K, 363 SV, 2.69 FIP, 96 FIP-, 26.6 WPA, 8.1 WAR, 15.0 JAWS
Treyton Murph, RHP
Murph was drafted in the 8th round by the Blue Jays out of IMG Academy in 1904. He was then traded to the Reds for Alfredo Cruz and then to the Astros for Yago Pimentel. The Astros finally called him up and he spent his entire major league career on the team, winning the World Series with them in 1910 and making the 1913 All-Star team. He also finished in the top 3 for Reliever of the Year twice.
Career Stats: 498.3 IP, 181 BB, 316 K, 186 SV, 2.48 FIP, 86 FIP-, 17.7 WPA, 8.0 WAR, 13.2 JAWS