The Brit was able to keep up her high quality of play in the second set as she eventually sealed a 6-0 6-4 victory over the Latvian, "Starts are very important, but I'm really happy with the second set because she raised her level".
Watson will next face Victoria Azarenka after the Belarussian, back on tour after giving birth to her first child in December, ousted 15th-seeded Russian Elena Vesnina.
However, this is only her second tournament back in action since giving birth, having played in Mallorca. She's a great player and I had to expect she'd raise her level and try something knew. Asked if she feels she is playing as well as two years ago, she added: 'Right now I'm feeling very confident and enjoying being out there on court'. "That's what I remember most about the match, so it's positive".
She said: "I'm happy with them".
"I'm seeing the ball very big and moving well, which is very important for the grass", said Watson.
Five-times Wimbledon champion Venus Williams came back from a set down to beat China's Wang Qiang 4-6 6-4 6-1 on Court One. "First of all, I think Vika is an incredible player and person".
Kristyna Pliskova was defeated by Maria Sakkari of Greece, ranked 61 places lower than the Czech at 101. "You don't get to where she's got to in her career without, you know, being a really good player".
Heather Watson is within touching distance of achieving her long-term goal of reaching the second week of a grand slam - which could be bad news for coach Morgan Phillips.