Man, you ask a complex question....... When I started playing guitar John Hurt was one of my main influences. I loved country blues and from him I went on and tried to learn as many of the different styles from those old guy's as I could. John Hurt is pretty accessable. It might be hard to get into some of the other blues players of that period at first, but keep listening if this is the case.
Some of my favorites (hopefully you or others might like them too) are: in the Piedmont style, Reverend Gary Davis, Blind Blake, Bo Carter, and Blind Boy Fuller. Delta blues: Robert Johnson, Son House, Charley Patton (a monster), and Skip James. Texas guy's: Blind Lemon Jefferson, Blind Willie Johnson (another monster), and Muddy Waters (check out the "Plantation Recordings")........ Modern guy's you might like are: Ry Cooder, Taj Mahal, Paul Geremia, John Hammond Jr. (he made a record recently of all Tom Waits songs, BTW), The Jim Kweskin jug band, and Jourma Koukanen(sp?)..........
John Hurt is everywhere in modern music (or, at least roots variants), but so are a lot of the other old guy's. Listen to some of Beck's records, Wilco, The Rolling Stones, etc.
There was even a lot of cross-pollenation between them and the hillbilly music of that era; check out Jimmy Rodgers (the country one), Bill Monroe, etc.
Sorry to ramble...... hope it's helpful info
Chris