Final answer:
The isolate from the CSF showing small gram-positive rods with beta-hemolysis and a catalase-positive reaction can be identified as Listeria monocytogenes by demonstrating its characteristic tumbling motility and specific antigen presence.
Step-by-step explanation:
Identification of the gram-positive rods in the CSF of an 82-year-old woman on immunosuppressive therapy could be made by demonstrating the presence of the pathogen's unique characteristics. Given the information that the colonies show a narrow zone of beta-hemolysis on sheep blood agar and that the isolate is catalase positive, the identification could likely be Listeria monocytogenes, which is consistent with these findings. Other confirmatory tests, such as checking for motility at room temperature and the presence of specific antigens (e.g., through antibody testing), would help confirm the species.