Unfortunately, there's no option for that.
We use Mailgun to send our emails. By default, we use your URL @ ghostmonitormail.com - so it will be obvious that your store is sending the email via our service.
You can change in your Settings under 'Site name' what you want to have as a store name - and the result will look like this:
However, you can always change your reply-to email address in your Settings - My Store - Email settings.
If you have any other questions, please contact us!