I figured it out. Here is the updated code:

Here is updated code that works great for my save game function in my game just in case anyone has similar problems to this in the future and stumbles upon this on the google or something

Code:
#include <string>
#include <iostream>
#include <cstdlib>
#include <fstream>

using namespace std;

int main()
{
int tmpInt =0;
string tmpString;
string stringArray[4];
stringArray[0] = "empty";
stringArray[1] = "empty";
stringArray[2] = "empty";
stringArray[3] = "empty";

ifstream myStream("SAVEGAME.DAT");
while(!(myStream.peek() == EOF))
{
getline(myStream, tmpString);
stringArray[tmpInt] = tmpString;
tmpInt++;
}

for (tmpInt = 0; tmpInt < 4; tmpInt++)
{
cout << stringArray[tmpInt] << endl;
}

myStream.clear();
myStream.close();
system("PAUSE");
return 0;
}