When who and whom (or whoever and whomever) are used to open questions, their case is determined by their function within the question.
Who is the subject of the verb was.
When whom functions as the object of a verb or the object of a preposition in a question, it appears out of normal order. To choose the correct pronoun, mentally restructure the question.
Whom is the direct object of the verb did nominate. This becomes clear if you restructure the question: The Democratic Party did nominate whom in 1952?