Not the hurricane, the song!
The recording you just listened to – you did click on the link and listen to it, didn’t you?!? – was recorded in New York City, circa August 1943, by Moe Asch. It features Lead Belly singing and playing his 12-string guitar with harmonica accompaniment by Sonny Terry.
This recording of “Irene” was the first commercial release of the song, originally issued in a 78 rpm album entitled Songs by Lead Belly on Asch Records.
It is currently available on the CD Where Did You Sleep Last Night? from Smithsonian/Folkways. This collection is volume 1 of the 3 volume Lead Belly Legacy series of reissues of the Lead Belly/Moe Asch recordings.