We called it 'Touchdown' because the object was to score a touchdown after you got the ball.
Yeah, we didn't have any real object, other than to run around and tackle each other. There was no scoring. If you caught the ball, you were getting tackled/dog-piled by everyone else. I'm not sure why we all WANTED to catch the ball, and actually fought hard to catch it, since it meant you were definitely going to be violently tackled, but we did.