How do I deal with my family accusing me of sorcery because the bewitched person babbled my name, knowing that I am innocent?

The fundamental principle is the innocence of a Muslim's conscience, and it is impermissible to accuse them of something they did not do, as Allah Almighty says: "And those who harm believing men and believing women for [something] other than what they have earned have certainly borne slander and manifest sin." What was mentioned about the bewitched woman uttering your name is not proof, and it could be a stratagem from Satan to spread hatred and sever family ties, as in the Hadith: "Indeed, Iblis places his throne upon water, then he sends forth his detachments... Then one of them comes and says, 'I did not leave him until I separated him from his wife,' so Iblis draws him near and says, 'You are good.'" Remind whoever accuses you of Allah, seek help from the wise, and threaten those who persist with official authorities. The bewitched woman should be treated with legitimate ruqyah (exorcism).