Connolly, 63, said, "I feel totally different. It's like the first time you wear a tuxedo and you feel like Cary Grant," the Glasgow Evening Times reported Tuesday.
Swinton said she was "greatly honored" by the award and former Eurythmics singer Lennox, 51, said she hopes the awards will inspire others.
"From what I've learned about RSAMD there is a great deal of talent in there," Lennox said.
Celebrity Couples of 2014 [PHOTOS]