The Disjunctive Pronouns (aka: Stressed Pronouns, aka: Independent Pronoun).

The disjunctive or stressed pronouns look like this (you may ignore the exclamation marks!):

moi! (I) me!
toi! you!
lui! (he) him, it!
elle! (she) her, it!!
nous! us!
vous! you!
eux! (they) them (masc.)
eux! (they) them! (fem.)

Example in English:

Who is there?? It's me! (I know it should be "I," but let's talk like the rest of us do!).
Who looks like a monkey. He!
or Him!
Marie-Laure and Mireille are cute. Who" They? Them?

-------------------------------------

The disjunctive pronoun is used in the following cases:

1. When it stands alone, or when there is no verb following.
     Qui est malade? Elle! ----- Who is sick? She!
2. To compare and contrast two elements.
     Maria et Maman, eux sont heureuses mais Papa, lui est triste!
3. After a preposition (location word)
    Elle va chez eux. She is going to their house.
     Je vais avec toi! I am going with you!
4. After "c'est" and "ce sont."
     Qui chante comme ça? C'est lui!
     Qui sont seule? Ce sont eux.
5. With a compound subject.
     Maria et moi, nous allons à Fountain Valley (notice: we inserted "nous).
     Pierre et eux, ils dansent ensemble (notice, we inserted "ils")
-----------------------------
6. With penser à + a person and penser de + a person.
     Nous pensons de lui --- We're thinking about him
     Elle pense à lui ----- She is thinking of him.
7. With parler de + person
     Je parle d'eux --- I am talking about them.
8. With être à
-- le livre est à Paul -- le livre est à lui.