The Whigs and Tories were political factions in England, particularly active during the 17th and 18th centuries, with the Tories generally supporting the monarchy and the established Church, while the Whigs tended to support parliamentary power and often favored a more liberal stance.
However, when it comes to alliances with Native American tribes such as the Shawnee and the Iroquois, the context is primarily related to colonial America and the French and Indian War (1754-1763).
During this period, the British (including the Tories, who generally supported the British crown) and the French sought alliances with various Native American tribes. The Iroquois Confederacy historically had complex relations with both the British and the French. They were primarily aligned with the British during the French and Indian War, which helped them maintain their power against other tribes, including those allied with the French.
The Shawnee had fluctuating alliances and were involved in various conflicts against colonial expansion and involvement throughout the 18th century.
In summary, while both groups were involved in the broader context of colonial politics and conflict involving Native American tribes, the Tories did not have a specific alliance with the Shawnee or the Iroquois as a faction, but rather, during the time of the French and Indian War, the Iroquois were aligned with British interests (which were aligned with the Tories), while the Shawnee had differing allegiances based on the context of the time.