How do I store Strings in an array?

I'm fairly new to C and I designed a simple experiment to help me understand basic I/O.

I'm creating a program that will read data from a basic .txt file, store it, and allow me to manipulate it.

In this case, I'm using MyAnimals.txt which contains:

4 Dogs
3 Cats
7 Ducks

Here is my code:

 #include <stdio.h>
 #include <stdlib.h>

 main()
 {
    char szInputBuffer[50]; //Buffer to place data in 
    FILE *pfile;

    int i;
    char szAnimalName[20]; //Buffer to store the animal name string
    char *pszAnimalNames[3]; //An array of 4 pointers to point to the animal name strings
    int  iAmountOfAnimal[3]; //An array to store the amount of each animal


    pfile = fopen("MyAnimals.txt", "r");
    printf("According to MyAnimals.txt, there are:\n");

    for (i = 0; i <= 2; i++)
    {
        fgets(szInputBuffer, 50, pfile);
        sscanf(szInputBuffer, "%d %s", &iAmountOfAnimal[i], szAnimalName);
        pszAnimalNames[i] = szAnimalName;
        printf("%d %s\n", iAmountOfAnimal[i], pszAnimalNames[i]);
    }

    printf("The number of %s and %s is %d\n", pszAnimalNames[1], pszAnimalNames[2], iAmountOfAnimal[1] + iAmountOfAnimal[2]);
    printf("The number of %s and %s is %d\n", pszAnimalNames[0], pszAnimalNames[1], iAmountOfAnimal[0] + iAmountOfAnimal[1]);
}

However my output is:

According to MyAnimals.txt, there are:
4 Dogs
3 Cats
7 Ducks
The number of Ducks and Ducks is 10
The number of Ducks and Ducks is 7

Why is it that the value pszAnimalNames[0, 1, and 2] points to "Ducks" by the end of the program?

Desired output is:

According to MyAnimals.txt, there are:
4 Dogs
3 Cats
7 Ducks
The number of Cats and Ducks is 10
The number of Dogs and Cats is 7