Private comments from the Jira app are always from one and the same person. Can we change this?

Go to the Jira settings and check if the 'User Email Visibility' is public. Unless that's made public, the integration will not be able to pick up the user information from Jira. When this information is not available, we add the comment under one of the account admin's name. To update the user email visibility : Go to Jira home -> Settings -> System -> General configuration. Click on Edit settings and updated user email visibility to public.