***** NOT A TEACHER *****
Congratulations on the fine parsing job.
I do, however, believe that most books would parse "more" as an adjective in your sentence. For example, The New Oxford American Dictionary has this example of its adjective use: "I poured myself more coffee."
Tom: I wanted.
Mona: What did you want? Ice cream? A girlfriend? To visit Paris?
Tom: Oh, sorry. I wanted to claim more money.
Mona: Oh, now I understand.
I think that most books would say that the so-called infinitive phrase is the object of the verb "wanted."
Student or Learner