Wales' victory means they are now the only side who, with two rounds remaining, have a shot at the Grand Slam this season.
The bigger picture for Jones, with an eye on the Sept 20-Nov 2 World Cup, is to ensure that England are more tactically nimble as their opponents in Japan will be studying the tapes of Saturday's game a lot more closely now. "I told the players there's no way anyone else is training as hard as us".
Bern and wing Jess Breach scored two tries each for England in the first half while Marlie Packer also got on the scoresheet as they raced to a 29-5 halftime lead.
Wales, who had not scored against England in three matches, never threw in the towel and will take something from the two tries they scored through Jess Kavanagh and Cerys Hale.
Hill packed down alongside skipper Alun Wyn Jones as Wales beat England to keep their hopes of a Grand Slam alive in head coach Warren Gatland's last season in charge.
"Murrayfield is always a tough place to go and then it is Ireland at home, we will take them one at a time".
"We are definitely going to learn from this", he said.
The 21-13 win put Wales at the top of the table as Warren Gatland's side eye the title.
"[Itoje] is coming along well", coach Eddie Jones said.
'But any loss is someone else's opportunity and we have some fantastic players in that position as well'. We have won big games before and we are going to win big games again.
"We'll celebrate a great win tonight and then we'll relax and recover before moving our focus to Italy".
It was a collective display that saw Irish representatives creep above their Italian counterparts into fourth overall, their 1348.3 average points narrowly bettering the Azzurri fans' 1344.9, with any managers lucky enough to have Jacob Stockdale as their captain boosting the number as he led the way for Round 3 individual performers.