World No.476 Moore, from Doncaster won the day’s standout match 6-2 3-6 7-6 (3), picking up where she left off after yesterday’s qualifiers with her second win in as many days.
The victory is Moore’s first WTA Tour-level win since November 2016 and sets up another all-British clash in the second round against Heather Watson.
Moore got off to the perfect start with a break in the third game, setting her up to take a commanding one-set lead.
Silva then fought back, racing to a 3-0 lead before tying up the scores at one apiece.
She then pushed Moore to a tie break in the decider but couldn’t hold off the 28-year-old who edged a narrow victory in front of the Centre Court crowd.
Moore said: "It's the first time I've played in front of a crowd for a very long time. This is one of my favourite tournaments and I love playing in front of this crowd. Thank you to the LTA for giving me a last minute wildcard. It means a lot. This is my home town basically. I'm from Doncaster which isn't too far away. I love the North and I love playing in Nottingham."
The tournament is being streamed live on the BBC Red Button, BBC Sport website and LTA’s YouTube, Facebook and TikTok channels.
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