CHARLES & ELIZA ROURK are found on the 1900 Berkeley Co., South Carolina Census - ELIZA JANE is found on the 1910 Charleston Co., South Carolina Census and states that she is widowed.
From the enumeration dates of these Census's, we can narrow CHARLES's death date to between June 2, 1900 and April 14, 1910.
Even though I was able to find ELIZA's death record, I was unable to find CHARLES. In case you don't have this information on ELIZA, it is transcribed below:
ELIZA J ROURK died Jan. 23, 1934 at the age of 72 years in Charleston, South Carolina; she was born March 5, 1861 in Berkley Co.,SC; she is widowed; her spouse is CHARLES ROURK; her father is JOHN WILLIAMS, who was born in Berkley Co., SC; her mother is SABRIE JONES, who was born in Berkley Co., SC; she was buried in the Mt Olive Church Cemetery near Cross, South Carolina.
Could not find exactly what you needed but I hope this helps you.