Final answer:
In Sojourner Truth's speech, 'obliged' means being morally compelled to act for justice and equality, analogous to civil disobedience in the civil rights era.
Step-by-step explanation:
The definition of obliged as used in paragraph 6 of Sojourner Truth’s “Speech to the Ohio Women’s Conference” most closely matches the sense of being morally or ethically compelled to do something or to act in a certain way. Considering the context provided, where Truth dismantles arguments against women's suffrage and exposes hypocrisy, it can be inferred that 'obliged' refers to the moral imperative that activists felt to fight for justice and equality, despite the law. This sense of obligation is similar to the idea of 'civil disobedience' as later described in the context of the American civil rights movement.