***** NOT A TEACHER *****
1. Please study this sentence from one of my books: "The dean requested me to report at once." ***
a. Do you feel (that) that sentence has the same structure as "She does not want me to lie to her"?
b. IF you do, then here would probably be that book's explanation for your sentence:
i. "Me to lie to her" is an infinitive clause/phrase. (The choice of word depends on your book/teacher.)
ii. "Me" is parsed as the subject of "to lie to her."
iii. You have probably already guessed that "me to lie to her" is the direct object of the verb "does want." ("Not" is an adverb. It is not parsed as a verb.)
(P.S. In English, it does NOT sound natural to say something like: "She does not want that I should lie to her." Thus, speakers use the infinitive clause/phrase structure.)
2. Here is something super important (from the same book).
a. "We promised her to come."
i. In that kind of sentence, "her" is NOT the subject of "to come."
ii. "to come" is the direct object of "promised." ("We promised to come.")
iii. You have probably already guessed that "her" is the indirect object."
*** Pence and Emery, A Grammar of Present-Day English (1947).
Student or Learner