Final answer:
The Republicans won significant victories in various state legislatures, but the specific victory achieved in the first Oklahoma legislature isn't detailed in the provided material, though it likely refers to gaining political dominance or passing key legislation.
Step-by-step explanation:
The student asked about the victory that Republicans won in the first Oklahoma legislature. Although not explicitly stated in the provided reference material, the historical context suggests that the victory in question might be related to the political dominance and legislative successes the Republicans achieved during that period. In the context of the late 1800s and early 1900s, the Republicans made significant gains in various states, including Oklahoma, through elections and enforced policies that would strengthen their political position, often with support from groups such as freedmen and allies in Congress. This could include securing a majority in the legislature or passing important laws that aligned with their party platform. However, without specific details about the first Oklahoma legislature, a precise victory cannot be pinpointed from the given reference material.