Annie says

For those of you who plan to visit in the next few months, let me offer a translation guide to Annie speak:

Tup Tup: cup
TUUUUUUUUP!: I have spotted my cup.
Squeals of distress: I cannot open the tupperware cabinet / SB is sitting on top of me.
Rah Rah: Sarah
Daw: dog
Maaaaaah-ow: I see a cat. I am attempting to communicate with it.
Poo poo: diaper. not even a dirty diaper, just diaper.
Uh uh: yes (in most cases, no really means yes, unless you are offering her some kind of meat to eat, in which case, no really does mean no. Annie is a vegetarian).

Shish: I see Sarah Beth's fish. Which means I am in Sarah Beth's room. Which means I am probably going to be in trouble. (Usually followed by "nah no")
Nah no: I'm not supposed to touch whatever I am touching.

The last one is tough because it can mean any number of things. I'll narrow it down to the most common interpretations and what you should do in each instance.

Mama:
 1. most often means "I see my mother." No action necessary. Sometimes redirection is necessary when she repeats the word over and over and over for no reason. Especially when in the car.
 2. mama, when screamed frantically means "Help!" First check the tupperware cabinet as she is likely stuck in there. Otherwise, reprimand SB because she has probably taken a toy away from Annie.
 3. mama, when screamed in angry fashion early in the morning means "Get me out of my crib before I rip this thing apart." It's time to get her out of bed.
 4. mama, when whining means "I'm hungry." Get some food and a broom.
 5.mama, when repeatedly chirped excitedly means "I've just done something I'm not supposed to do. Look how cute I am before you check the toilet for your favorite shoe." Check the toilet for shoes. Close the bathroom door behind you to prevent additional casualties.