Glitches by Marissa Meyer (2013) Tor Books

Little Cinder has lost her parents and a leg and an arm.  And she seems to have access to information in her brain whenever she asks a question.  Her new stepfather, an inventor, has taken her in to be a new member of his family.  Though her stepmother and one of her stepsisters is not very happy to have her.  She feels she needs to prove her worth and fixes the housekeeper android.  But before she can show it off to her stepfather, he has come down with a deadly plague.