I had to look a lot of the players up, but I did get all the presidents in order without looking:
1. Ron Washington
2. Mike Adams
3. Reggie Jefferson
4. Scotti Madison
5. Craig Monroe
6. R. Mike Adams
7. Joe Jackson
8. Deacon Van Buren
9. Matt Harrison
10. Lefty Tyler
11. Scott Polk
12. Reggie Taylor
13. Leon Fillmore
14. Gracie Pierce
15. Brian Buchanan
16. Mike Lincoln
17. Deron Johnson
18. Mudcat Grant
19. Von Hayes
20. Bill Garfield
21. George Arthur Foster
22. Reggie Cleveland
23. Josh Harrison
24. Reggie Cleveland
25. Oscar McKinley Charleston
26. Jack Roosevelt Robinson
27. Steve Taft
28. Willie Wilson
29. Harding
30. Coolidge
31. J.J. Hoover
32. Franklin Delano Roosevelt Wieand
33. Truman Eugene Clevenger
34. Charlie Eisenhower
35. Junior Kennedy
36. Jerry Johnson
37. Otis Nixon
38. Dan Ford
39. Joe Carter
40. Phil Regan
41. Dave Bush
42. Lou Clinton
43. Bullet Joe Bush
44. The Bronx Obamas