Since I held an inaugural draft when my "universe" began in 1901, the Giants team that Roy Porter has joined doesn't contain all the names you'd expect to see on the real Giants roster.
Here are the '02 Giants, as they appear in our story:
REGULAR BATTING ORDER
Josh Clarke, LF
Fielder Jones, CF
John McGraw, 3B
George Davis, SS
Jimmy Sebring, RF
Dick Padden, 2B
Wilbert Robinson, C
Duke Farrell, 1B
Against lefthanders, Jimmy Bannon replaces Clarke, and Roy Porter starts every other game in Farrell's place at first base. The AI manager scrambles the batting order, too; Robinson bats second, Jones sixth, Porter seventh, and Padden eighth when a southpaw faces the Giants.
The other Giants reserves are 1B Walter Thornton, 2B Tom Delahanty and Johnny Evers, and OF Joe Wright, Joe Peitz, and Tony Thebo.
I wish the AI could recognize that it's 1902. Platooning and mixing up the batting order just don't seem authentic in that day. I know I could manage the Giants myself, but I don't trust myself to play favorites with my featured players.

Meanwhile, the other 15 teams would still be managed like it's 2002, not 1902. I don't have the time to set lineups for every team in the majors.
Anyway, here is the Giants' pitching rotation:
LHP Eddie Plank
RHP Addie Joss
RHP Chick Fraser
RHP Billy Rhines
Righthander Bill Carrick is the fifth member of the staff.