Option 1 -> "Divulge" means to reveal or disclose information, especially something private or confidential - fits perfectly with a witness sharing information.
Option 2 -> "Dislodge" means to remove something from its fixed position - doesn't work with abstract nouns like "information."
Option 3 -> "Discredit" means to harm the credibility of something - you discredit a person or claim, not directly used with "information" in this context.
Option 4 -> "Evade" means to avoid or escape - you evade questions or responsibility, but not "evade information" (incorrect usage).
Hence, Option 1: divulge -> A witness being hesitant to "divulge" (reveal/disclose) information to police is the natural and grammatically correct expression, as divulge specifically refers to making private or sensitive information known -> correct