Ringo is beating the crap out of his kit on this one. In a more recent interview he says he's left handed and his drum kits are right handed. Not sure what that means. If nothing else, with Paul, two lefties in the band.
A left-handed drummer will have the high-hat on his right, using his left hand to play on top of the high-hat, and his right on the snare. Ringo, like most drummer's you'll see, have the high-hat on the left side (from the drummer's perspective), and will use their right hand to hit the high-hat from above, and the left to hit the snare when using the high-hat. I've always thought that Ringo considered himself abidextrous, even if he couldn't spell it (or even know what it meant).
P.S. - great clip, Digney, nice find. That appears to be from their first US concert in Washington, DC (before anyone coughs; Ed Sullivan was a live TV broadcast in a small studio) where Ringo's riser had to be rotated every song, along with the mics and amps, to face the circular audience at different times. Ringo is wailing away indeed, and using his crash cymbal like a ride cymbal because of the din (in other words, he's riding the crash, which would ordinarily be used as an ormament; the ride cymbal is the larger one to Ringo's left).
Just to close out the Ringo discussion: Surely, he wasn't anything of the ilk of Bonham, Moonie or Peart, or any number of other drummers (and I'm a jazz guy, so let's not even go there), but one thing he did really well was ride the high-hat and the snare, and manage to get a fair bit of music out of a very limited strinking area, as it were.