Pegula posted a 6-3, 6-4 victory over 24th-ranked Qinwen Zheng of China in 1 hour, 38 minutes, while Gauff fired six aces en route to a 6-3, 6-2 win over Bernarda Pera in 61 minutes.
Also on Tuesday, Frenchwoman Caroline Garcia secured a 6-1, 7-5 win over Madison Brengle and fourth-seeded Ons Jabeur of Tunisia captured a 6-3, 6-2 victory over Italian Jasmine Paolini.
Samsonova recorded 18 aces to secure a 6-4, 7-6 (4), 6-3 win over the 18-year-old Noskova.
Spain's Rebeka Masarova registered seven aces en route to a comprehensive 6-3, 6-2 victory over the Canadian, a former U.S. Open champion and the runner-up at this tournament last year.
Also on Tuesday, eighth-seeded Varvara Gracheva notched a 6-2, 7-5 win over Italian Sara Errani.
Persons:
Coco Gauff, Bernarda Pera, Paul Childs, Jessica Pegula, Pegula, Zheng, Gauff, Camila Osorio, Jodie Burrage, Frenchwoman Caroline Garcia, Madison Brengle, Jasmine Paolini ., Beatriz Haddad Maia, Marie Bouzkova, Samsonova, Linda Noskova, Bianca Andreescu, Spain's Rebeka Masarova, Varvara Gracheva, Sara Errani
Organizations:
Eastbourne International, Lawn Tennis Club, Bernarda, U.S, Rothesay International, Bernarda Pera, Wednesday, Colombian, Madison, Thomson
Locations:
Eastbourne, Britain, Rothesay, England, China, Great Britain, Tunisia, Czech Republic, Bad Homburg, U.S