During the visit to the bridge, the royals met architects, planners and community representatives and watched a performance from local schoolchildren before Her Majesty unveiled a plaque to mark the opening.
She said: "She looked very elegant - like a princess - and I love that she was very natural".
The royal pair will conclude their day with a lunch at Chester's Town Hall.
The Queen doesn't indulge in worries and she didn't spend a lot of time checking on Meghan, but instead let her get on with it.
The newest member of the royals, who has been given the title of Duchess of Sussex, visited Cheshire today alongside the Queen.
Leroy Sané left out of Germany World Cup squad
To Belgium next, and the biggest story from the squad is that Michy Batshuayi has been proclaimed fit to make the final 23. The 22-year-old played a crucial part in Manchester City's record-breaking Premier League title win last season.
The newlywed duchess, who married the Duke of Sussex in a star-studded ceremony in Windsor last month, was nervous, repeatedly touching her hair.
The monarch was wearing gloves, as she usually does when out and about shaking hands with the public on royal engagements.
A move to Canada might appeal to Meghan, who lived in Toronto for six years from 2011 while filming her role on TV legal drama Suits. Her normally super sleek strands were neither tied back into her cool-girl low chignon, nor were they in a glamorous blowout - but rather loose waves that added the flawless carefree-contrast to her super-structured outfit.
Democrats, GOP locked in primary battles in 8 states Tuesday
Villaraigosa was in a distant third as of 10:35 p.m. with 11.3 percent of the vote, according to the state's polling numbers. The county's registrar-recorder's office says registered voters can cast provisional ballots in Tuesday's primary election.
A theme of tolerance, inclusion at this year's Tony Awards
Tina Fey is a superstar and she wrote a snappy, smart script for " Mean Girls ", a musical based on her popular 2004 movie. The biggest victor of the night was The Band's Visit , a musical about an Egyptian band visiting an Israeli desert town.
Democratic women win big in key Virginia House primaries
Rachel Talbot Ross, a Democrat representing Portland's District 40, fended off in a primary challenge from former Rep. Longtime Register of Deeds John O'Brien of Lynn also will be facing a Democratic primary challenge in September.