Betts admitted the scoreline did not tell the whole story as Widnes were made to work hard for the win in stormy conditions at Derwent Park. Dave Allen touched down twice as the visitors crossed six times, with Jack Owens kicking 12 points.
Chris Dean, Stefan Marsh and Gareth Hock all went over before the break with Allen's second-half double coming either side of teenager Adam Lawton's score. And Betts said: "It was a real good, tough, old-fashioned game of rugby league and they made life really difficult for us."
He added: "Both sides showed lots of commitment in difficult conditions.
"I am delighted not to concede and we are looking forward to the next round now.
"But Gary should be really proud of his side, I thought they did very well."
Town boss Gary Charlton added: "We had a real dig and played for the full 80 minutes.
"But at the end of the day they just had a little too much class for us and we didn't take our chances."
- Sports & Recreation
- Gareth Hock
- Stefan Marsh
- Adam Lawton