Ross Barkley's deflected shot gave England the lead before Harry Kane's shot rebounded in off the back of Lithuanian keeper Giedrius Arlauskis after hitting the post to make the outcome a formality 10 minutes before half-time.
Hodgson insists he is proud at including - and keeping - Everton's Barkley in his squad from his early days as a teenager, even when he has been out of his club side.
Will his pride extend to putting the wonderfully gifted 21-year-old in England's starting line-up at Euro 2016?
It is a question that is growing in significance as Barkley, after a man-of-the-match performance in the 2-0 win against Estonia at Wembley on Friday, backed it up with another eye-catching display here in Vilnius.
Barkley broke the deadlock with a deflected shot and almost added another with a header as his influence on England grows.