As Wimbledon entered its second week, the men's and women's draw seemed to inhabit disparate worlds.
Ostapenko advanced to her first Wimbledon quarterfinal after converting her eighth match point to beat Elina Svitolina 6-3, 7-6 (8-6).
Muguruza rallied past Angelique Kerber, 4-6, 6-4, 6-4, and earned a bout with 32-year-old Svetlana Kuznetsova, the first entry into the quarterfinals with her 6-4, 6-2 win over fellow veteran Agnieszka Radwanska.
Experience triumphed over youth on Centre Court as Venus downed Croatian teenager Ana Konjuh 6-3 6-2 in a fourth-round battle of the baseliners. The 13th seed, who faces Venus Williams in the next round, is now just three matches away from completing what would be astonishing grand slam double.
She entered the tournament under a cloud of controversy after the death of Jerome Barson, a 78-year-old man who was involved in a Palm Beach auto crash with Williams last month.
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Lawyers representing Charlie's parents said evidence indicated a "small chance" of brain recovery. She said no further imaging of Charlie's brain had been carried out since the April ruling.
Number 10 seed Williams was in control from the start and, after failing to convert a break point in the fourth game of the opener, eventually made the breakthrough to go 5-3 in front to leave herself serving for the set.
She broke in the opening game with one of many forehand winners and again for a 4-1 lead.
Ostapenko finished with 42 winners in the match.
There was more for the local audience to cheer for as Britain's Andy Murray overcame a hiccup in the first set, when he found himself 2-4 down to an unpredictable Benoit Paire, whose erratic French flair, makes him a hard contender.
Having survived three match points at 5-1 down, her fate was sealed by the relentless Williams serve.