Other than those two things I think this is good.
if you look at your code flow, what is going to take place (line 17) if your if statement equals true, and what should it (maybe) do instead?
Code:
printf("Enter two integer values. It is required that the first value be smaller than the second. \n");
scanf("%i%i",&iv1,&iv2);
count = 0;
int retries = 1;
while ( iv1 > iv2 )
{
printf("\nThe first value was greater than the second. Try Again\n"
"Enter two integer values. It is required!!!!!!!!!\n"
"that the first value be smaller than the second. \n"
"Like I said the first time.\n"
"You, %s %s have made this same mistake %d time(s) now. BTW\n"
"Care to make it another one, hummmm?\n",
fname, lname, retries);
scanf("%i%i",&iv1,&iv2);
retries++;
}
just a little friendly programming design hint.