>Will the hotel give her TM30 receipt which they filed with the immigration?
Probably not; she will not need to show a "trail" of TM30s to get any type of extension.
>can ask my landlord to file her TM30 and give me the receipt.
Yes you can. Your landlord should file the TM30. If for whatever reason s/he won't file the TM30, self file (read this post here:
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>If she wants to extend her TR visa is she required to show the last TM30 receipt to the immigration at Changwattana?
She may be asked to show the TM30 receipt to immigration, otherwise she will be fined.