The author tries to imply that detectives began to suspect she was killed because of the view from the evidence found on the bodies, but investigators want to clear-cut evidence, she tries to continue her questions.
The author is trying to convey that investigators began to suspect that she was murdered. Because of evidence found by investigators, but the body needs evidence, so try to ask her.
The author tries to convey that the detective begins to suspect that she was murdered. Because of the evidence found from the body but the detectives want evidence tried to ask her.