England scored seven tries in total, Watson crossing twice early on.
But Watson soon had his second try, with Ford on the loop and May cutting across again.
Last year they bamboozled the champions at Twickenham with their controversial 'ruckless' tactics and although a law change means that ploy can never be used on a rugby field again, England are braced for more surprises.
After 24 in succession, England victories over Italy could be defined as something of a formality.
"It was very positive", England coach Eddie Jones told ITV.
Tommaso Benvenuti and Mattia Bellini went over for Italy, both following wonderful passes from Tommaso Allan, who converted one and scored a penalty kick. However, England are nothing if not blessed with resources.
It will be a tough match for the Italians, who come off the back of recent losses to Argentina and South Africa at home.
A minute later Watson had his second try with Ford linking up with Jonny May to sear through midfield before releasing his fellow wing to superbly dive over in the corner.
You won't see too many better Six Nations debuts than Simmonds made today, having also made 23 tackles and gained 80 metres for his team.
The thinking money is on Ireland.
It's worth noting that you'll need a valid TV Licence if you watch or record live programmes as it is a criminal offence in the UK to watch "live" television without a TV licence.
"He's unlikely to be available for the Wales game next week".
The red-booted Simmonds burst unstoppably off the side of a maul, showing the serious pace that made him a highly effective sevens player earlier in his career, and England had their bonus point. Already this Six Nations, nines going down with knee complaints is a talking points.
Late in the first half, Allan kicked a penalty to cut England's advantage at the break to 17-10.
Three Tommaso's combined to add a few bars of of their own tempo for Italy, though. "But our lads held out and we built and built", Farrell said. A looped pass over his head to Tommaso Benvenuti sent the Italy winger towards the line to score.
"We know we're off in certain areas, we know the progress we have to make". And they'll greedily eat up your opportunities.
Late in the first half, Italy tried to catch England out by running a close-range penalty. And the English bullied the attempted drive into touch. "We'll train tomorrow, have Tuesday as a recovery day and we feel like we'll be ready by Friday to face Wales", he said.
Allan added the extras and the gap was down to just three points. The great thing about our team is that no one is a certainty.
Eddie Jones feels England have unearthed a "great discovery" in the shape of Sam Simmonds after his outstanding Six Nations debut in a 46-15 drubbing of Italy.
England's Danny Care (left) and Jack Nowell after the NatWest 6 Nations match at the Stadio Olimpico, Rome. After the opening quarter, they upped the physicality and reduced the ease at which England was getting over the gain line. When Italy committed England players to the tight-exchanges, space opened up out-wide which Conor O'Shea's side exploited.
'If he was a cricketer he'd be playing Twenty20. However, he is one of the in-form players in the Premiership this season, and there's a reason why fans heading out to Rome are excited to see what he can do.
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