British No.3 Broady lost 7-5, 6-4 to New Zealand's Marina Erakovic in what was expected to be a close match with only 15 places between the pair in the WTA rankings.
It was a similarly tight affair in the match between Swan and Risa Ozaki, the Japanese winning 6-3, 6-3, although the discrepancy in the rankings of over 250 places meant that this was somewhat of a more expected result.
? Katie Swan (@Katieswan99) March 20, 2017
Elsewhere, WTA Insider reported a popular victory for 15-year-old Anastasia Potapova over rising Greek star Maria Sakkari and in-form second seed Magda Linette survived a second set blip to overcome Asia Muhammad in three tight sets.
There were also notable wins for Donna Vekic (d. Kayla Day 4-6, 6-2, 6-4), Varvara Lepchenko (d. Silvia Soler-Espinosa 7-5, 6-1), Madison Brengle (d. Sachia Vickery 6-1, 6-2) , Mona Barthel (d. Jaqueline Cristian 6-1, 6-1) and Francesca Schiavone (d. Kateryna Kozlova 6-3, 6-0).