Wiegman promised "many changes" from the goalless draw with the United States on Saturday and kept her word with only Manchester City's Jess Park retaining her place in the starting XI.
It was a youthful and inexperienced team that stepped out on the pitch at Bramall Lane, with only centre-back Millie Bright – captaining the side – a familiar face.
Mace and Blindkilde Brown looked at home on their senior England debuts, while Clinton and Beever-Jones were stand-out performers in the opening period.
England dominated possession and showed creativity and it was only a lack of ruthlessness that prevented them from adding to their tally as they were comfortably the better side.
This was a weakened Switzerland team, though, and affected by injury absences, including influential Arsenal midfielder Lia Walti.
England's players were also largely out of position and rotating as Wiegman set the team up in an unfamiliar 3-4-3, before switching to a 3-5-2 in the second half when experienced trio Keira Walsh, Beth Mead and Alessia Russo were introduced.
Wiegman had hoped to bring on defender Lucy Bronze late, but there was an admin error which meant she had not been named on the team sheet.
"That was a moment where she was not on the list. There has been a mistake," she told ITV afterwards.
"We still wanted to bring her on the pitch so that was really frustrating. We couldn't change it anymore."
The hosts seemed to switch between the systems seamlessly, however, which is not something they had done in underwhelming October performances against Germany and South Africa.
In summary, this was a positive night for Wiegman and England's youthful outfit, who showed they belonged on the international stage and there are options for the Lionesses to rotate.
It also intensified calls for Clinton and Park to feature more regularly in midfield and Chelsea forward Beever-Jones will surely be given more opportunities in the future based on this display.