<p>How can I Submit an InfoPath form to a SharePoint library AND to an email box at the same time when the user hits SUBMIT?</p>

<p>I need my form to be approved by several users in a particular order; then re-submitted to the SharePoint site, and to another email box so that the next approver can see the approvals, and approve their own, then submit it and have it drop onto Sharepoint again, etc.</p>

<p>The email chain works (the form as an attachment), and the approvals show, but the form doesn't get updated on the SharePoint Form library. </p>

Sorry for asking but have you considered using a workflow rather then emails? I'm not sure whether the basic workflows in WSS 3.0 will cater for your senario but the MOSS workflow should be more than adequate.