The iPad gets its e-mails from the ISP in the same way as the e-mail client on the laptop. The iPad does not have to connect to the laptop to get the e-mails. Has the email account been set up on the iPad?
You will need to change the settings so that e-mails are left on the server otherwise there will be no e-mails to download at either the laptop or iPad depending on which read the e-mails first. Alternatively use imap.
I think the problem may have emmanated from when my wife set up her email a/c in Outlook on her laptop, and perhaps used a different password. Up to now I have assumed that she would have been obliged to use the same password as I do, since we use the same ISP (TalkTalk) Broadband line. If this is not the case, then she will have to recall the password she used. She can still receive emails on her laptop in Outlook and has set up the iPad details to mirror the Outlook settings.