The pronoun should match the nouns, but that’s not sufficient.
Wrong: In1869, anxious to balance its population, the Wyoming legislature extended voting rights to women.
The pronoun ‘its’ agrees with the singular ‘Wyoming legislature’, but can legislature have a population.
Correct: In1869, anxious to balance the state’s population, the Wyoming legislature extended voting rights to women.
Attention to detail is what you should develop.
And do not forget to check the meaning of sentence.
