Final answer:
The Red River War of 1874-75 was between Native American tribes, specifically the Comanche, Kiowa, Southern Cheyenne, and Arapaho, and the U.S. Army.
Step-by-step explanation:
The individuals involved in the Red River War of 1874-75 were Native American tribes and the U.S. Army. This conflict was part of the larger Indian Wars, where the U.S. government sought to remove the Native tribes from their homelands and place them in reservations. Specifically, the Southern Plains tribes such as the Comanche, Kiowa, Southern Cheyenne, and Arapaho were pitted against the U.S. military forces. European settlers and Mexican soldiers were not directly involved in this war, although the encroachment of settlers on Native lands was a catalyst for the conflict.