Final answer:
The correct forms of the verbs are 'had stopped' and 'went' to depict the sequence and completion of actions in the past.
Step-by-step explanation:
The correct form of the verbs in the sentence 'After it (stop) raining, she (go) running' should reflect the sequence of events and the appropriate tenses. First, since the rain has completed before she goes running, we use the past perfect tense for the verb 'stop', to signify that the action was completed before the second action took place. Thus, the verb becomes 'had stopped'. Next, for her action of going running, as it follows the stopping of the rain and occurs in the past, we use the simple past tense. Therefore, the verb 'go' becomes 'went'. The correctly written sentence is:
After it had stopped raining,
she went running.