WooCommerce -> Settings -> EmailS -> the first two options, \"FROM: Name, FROM: Email\", are the Sender\'s email and name. When an order i
The only way I can think of to achieve this is to programmatically generate the Shop Manager notification email using one of the system action hooks. Since there is only one field in the "from" settings, it will be used (by default) for all the outbound messages.
That said, check out the Code Snippets plugin at https://wordpress.org/plugins/code-snippets/. You can put some code here (and it will be saved to the DB, and included the system code at runtime) that could generate this programmatic email when, say, a new order is generated.
Hope it helps.