It was a disappointment for the captain as it would have taken O'Driscoll, who went into the game level with Ian Smith on 24 tries, clear on his own as the all-time leading try scorer in the history of the Five and Six Nations.
But England were unable to maintain the same intensity in the final as Tafai Ioasa, Oremi Aii (two) and captain Liam Messam all scored tries for New Zealand to effectively wrap up victory before half-time.
Capped 65 times for Wales, Williams, one of 13 Welshmen named in the British and Irish Lions squad, tops the all-time Welsh try-scoring list with 46 and also has a record 46 tries for the Ospreys in 99 appearances.
When Lamb sent Narraway in under the posts in first-half injury time the result was no longer in doubt and it was all about securing a bonus point for four tries.