If your form submits to SharePoint, you can control which fields in your form show up as columns in the SharePoint library view. You need to “promote” any fields you want to show as columns. (This also controls which fields show up when you export the library info into Excel, for example.)
To specify which fields are promoted in a form that already submits to SharePoint, change the Form Options under the File tab.
Select Property Promotion on the left, and use the Add and Remove buttons to control which fields will be promoted. (If you want the column names to be different than the field names, click Modify to customize them.) Click OK when done.
Finally, publish the form again to propagate the changes on SharePoint.