Hester is told Chillingworth will be joining them.
Chillingworth joins them on the ship.
Here he is...
"Betimes in the morning of the day on which the new governor was to receive his office at the hands of the people Hester Prynne and little Pearl came to the marketplace." (174)
"What mean you? inquired Hester, startled more than she permitted to appear. Have you another passenger?" (180)
"this is the physician here - Chillingworth, he calls himself - is minded to try my cabin - fare with you? Ay, ay, you must have known it; for he tells , me he is of your party, and a close friend to the gentleman you spoke of, - he that is in peril from these sour old Puritan rulers!" (180,181)