[ahayes]

nrow_1 needs to be ncol_1

for (row_loop=0;row_loop<nrow_1;row_loop++)
					{
						rowptr_1[row_loop] = malloc(sizeof(int) * nrow_1); //<--error is here
						if(rowptr_1[row_loop] == NULL)
						{
							perror("Dynamic Memory Allocation Matrix 2 for column Fails");
						}
					}

You are not allocating memory for the result matrix so you need to make this modification

void Add(int **rowptr, int **rowptr_1, int nrow, 
		 int ncol, int nrow_1, int ncol_1)
{
	int **result = NULL;
	int row_loop, col_loop;
	nrow = nrow_1;
	ncol = ncol_1;
	
	result = malloc(sizeof(int*) * nrow_1);
					if (rowptr_1 == NULL)
					{
						perror("Dynamic Memory Allocation Matrix Result for row Fails");
					}

					for (row_loop=0;row_loop<nrow_1;row_loop++)
					{
						result[row_loop] = malloc(sizeof(int) * ncol_1);
						if(rowptr_1[row_loop] == NULL)
						{
							perror("Dynamic Memory Allocation Matrix Result for column Fails");
						}
					}

	for (row_loop = 0;row_loop < nrow; row_loop++)
	{
		for (col_loop = 0; col_loop < ncol; col_loop++)
		{
			*(*(result + row_loop) + col_loop) =  (*(*(rowptr + row_loop) + col_loop))   +  (*(*(rowptr_1 + row_loop) + col_loop));
		}
	}

}

also, when you are allocating for rows you need to have sizeof( (*int) * nrows) and not just sizeof((int)*nrows)