Earlier, Henry Nicholls and Mitchell Santner made half centuries as New Zealand struggled to 223 in the absence of match-winning batsman Ross Taylor.
Hales reached his half-century in 67 balls before picking out Williamson at mid-wicket in the 24th over to give Santner a wicket.
New Zealand were dealt a blow hours out from the winner-takes-all ODI when Ross Taylor was ruled out with a leg injury.
Bayliss told Sky Sports: "I suppose it is always a possibility but one of the strengths of this team from a bowling point of view is that we've always got six options".
Yet, even though the hosts were able to cobble together a target of 224, Bairstow's 10-over display, in which he smashed eight fours, six sixes and even his own stumps, made the other 72.3 overs of play academic.
Bairstow and Alex Hales, a late replacement for the injured Jason Roy, set up the win on Saturday with an imperious 155-run opening stand in Christchurch. "If they don't with the two new balls, it can all be against us, especially when you've got two guys at the top of the order who can be so destructive". But Bairstow's dismissal by part-time medium-pacer Colin Munro, from whom he had just previously hit a six over the gabled grandstand at the University Oval, precipitated a collapse which saw England lose 6-19 in 6.1 overs. Nicholls hit Root's off-spin for six but he top-edged Tom Curran to short leg at an inopportune moment.
It needed three from the last over: the first two balls bowled by Tom Curran yielded no run, but Nicholls hit the third for six into the midst of an excited crowd to end the game.
While the Black Caps end this series wth questions over their batting line-up, England's bowling attack looks secure.
While Willamson and Taylor form the kingpin of New Zealand batting, Latham's addition makes it deadly three-headed combo and augurs well for the Kiwis looking into next year's World Cup.
"It's different from batting in the middle order but my job now is to score big hundreds and contribute match-winning scores", said man-of-the-match Bairstow, who also took a brilliant, diving one-handed catch on the boundary.
JONNY BAIRSTOW scored a blistering one-day worldwide century for the second time in three days. "We didn't get a complete performance all series, but England were outstanding, a very good one-day unit, and deserved to win the series".
New Zealand captain Kane Williamson, a Yorkshire team-mate of Bairstow's, set aside his disappointment to deliver credit where it was due.
"We really did create opportunities by building pressure, and our two spinners really did take advantage of a little bit of turn", he said.
"I'm really happy", said Bairstow, whose face said it all.
The Estee Lauder ambassador has previously shared Mr Hurley's modelling photos, tweeting: "Here's my handsome nephew". Hurley confirmed the "brutal" attack on her Twitter account, saying it is an "appalling" time for the family.
EURUSD - the break above 1.2370 has seen us edge higher with the next resistance back near the recent highs above the 1.2500 area. Crude oil traded near $60 a barrel and gold slipped as a Bloomberg gauge of commodities slid for a second day.
While the political repercussions of fake news are quite obvious, the phenomenon has affected various other discussions. It is hard to know for sure, because Twitter is one of the few platforms that shares the relevant data with the public.
Along with antique planes, a band of soldiers in Revolutionary War period uniforms will reportedly march in the parade. According to a Pentagon memo, tanks will not be included to "minimise the damage done to local infrastructure".
Real Madrid manager Zinedine Zidane has predicted that the €400m (£356) transfer barrier will be broken within the next decade. As for the 400 million, they paid 220 million [for Neymar] and when they bought me they paid 72.
Kizer played in 15 games as a rookie last season and threw for less than 29-hundred yards with 11 touchdowns and 22 interceptions. After dealing for Miami Dolphins wide receiver Jarvis Landry , they then went for a new signal caller in Tyrod Taylor .
The 49ers are in need of cornerbacks and are expected to land a veteran in the coming week whether it is Sherman or someone else. Sherman expects to be ready for the regular season but could be limit in August for training camp and parts of the preseason.
But he added, "If they aren't going to make a fair NAFTA deal, we're just going to leave it this way". Indeed, he said, Canada is probably already drawing up lists of US products to tax in retaliation.
Razorbacks Selected as 7 Seed in 2018 NCAA Tournament
That was the SEC regular-season opener for Tennessee , which fell to 0-2 in league play a few days later by losing to Auburn . Because they were one of the top four seeds, the Volunteers were playing only their second game of the tournament.
Mark Fox out as Georgia basketball coach, reports say
The Bulldogs' point total was their lowest this season and well below their season offensive average of almost 69 point per game. Fox has been in charge of the Georgia program since the 2009-10 season but only led the Bulldogs to the NCAA Tournament twice.
Rand Paul Attacker Pleads Guilty To Felony Assault Charge
Boucher's attorney, Matthew Baker told WDRB that he will ask for leniency, when Boucher is sentenced on June 15, 2018. Boucher has explained that the attack was not politically motivated, but was merely over a property dispute.
Ghouta rebels agree to evacuate Nusra forces
President Bashar al-Assad and Russian Federation say the campaign is needed to end rebel rule over the area's civilians. A picture from Syrian state TV showing unidentified "fighters", evacuated from Eastern Ghouta.
Florida Senate passes restrictions on gun sales
He killed 17 students and teachers. "Those students will provide the moral outrage that will lead to change", said Sen. The bill would also allow law enforcement to seize firearms of anyone being held under the state's Baker Act.