Lavinia, actually – and she wasn’t murdered, though she was mutilated (i.e. tongue and hands cut off, so she’d have no way to convey to anyone what had happened). Titus stabs her (to save her honor, he says) along with a whole lot of other people at the end of the play. (In Deborah Warner’s production she deliberately walked into his knife.)
Really, Titus Andronicus has a lot of stuff fitting this thread. At one point in the play, the villain, Aaron the Moor (a prototype for such nasty Shakespeareans as Iago), tells Titus that his sons, who’ve been framed for the rape of their sister, will be released if Titus will chop off his own hand. This he does, and later has it returned to him with the heads of his two sons.
Some play, innit? :eek: 
Shakespeare’s source for much of the plot of Titus is Ovid’s Metamorphoses – specifically, the story of Philomela and Procne. Philomela is raped by her brother-in-law Tereus (Procne’s husband), who subsequently cuts out her tongue so she can’t tell anyone. However, she makes the truth known by weaving a tapestry about it, and when Procne sees it, she takes revenge on Tereus by killing their son and serving him for dinner, showing the boy’s head at the end of the meal. As is usual in Greek myths, they end up getting turned into things, specifically into birds: Philomela a swallow, Procne a nightingale, and Tereus a hoopoe – later tradition mixed up the birds, so the nightingale is invariably referred to poetically as Philomela.
One interesting note, albeit a bit off-topic, is that Shakespeare is very upfront about his debt to Ovid: Lavinia’s inability to weave a tapestry like Philomela is mentioned in precisely those terms (apparently, her rapists had done their homework), and she attempts to show her father and uncle what’s happened to her by using her nephew’s copy of the Metamorphoses.
Oh, and for reference, and just 'cause they’re both really neat:
Ovid’s Metamorphoses
Titus Andronicus