Browsing the Internet Archive Book images (now on flickr) I found this line drawing from a book published in 1871. It depicts surfing in the Sandwich Islands, along with some amusing descriptions of the Sandwich Island people. I wonder if there are any older depictions of surfing?
It's a cool drawing.
https://www.flickr.com/photos/interneta ... T3Y-oxgvMB
https://archive.org/stream/uncivilizedr ... 3/mode/1up