Hurray !! Thanks Duncan C

void reJigFromMemory(){

  Serial.print("Eeprom read 1 :");
  Serial.println(eepromReadOne);
  Serial.print("EEprom read 2 :");
  Serial.println(eepromReadTwo);
  int tempArray[10];

  int charLength=eepromReadOne.length()+1;
  char charBuff[charLength];
  eepromReadOne.toCharArray(charBuff, charLength);

// new int version
  int firstCharToInt,secondCharToInt;

  for (int i = 0; i <10 ; i++){
    firstCharToInt=charBuff[i*2];
    secondCharToInt=charBuff[(i*2)+1];
    tempArray[i]=((firstCharToInt-'0')*10)+(secondCharToInt-'0');
    Serial.print("I just translated :");
    Serial.println(tempArray[i]);
  }

  String tempArray2[10];
  int fromLocation = 0;
  int toLocation=0;

// updated to reflect Duncan C's suggestions
 for (int i = 0; i <10 ; i++)
{

    toLocation += tempArray[i];

    tempArray2[i]=eepromReadTwo.substring(fromLocation,toLocation);
    Serial.print("From Number = :");
    Serial.println(fromLocation);
    Serial.print("To number : ");
    Serial.println(toLocation);
    Serial.print("I just translated :");
    Serial.println(tempArray2[i]);
    fromLocation += tempArray[i];
  }
}