I see no problem in working on a TN remotely from a home office located in a different location that the corp. home office as long as you are working for the company that supported the TN and are working in a profession listed on the NAFTA schedule. What is not clear from your email is whether you intend giving up your current H-1B employment. You need to be sure to understand that you cannot hold H-1B status and TN status at the same time. If you are going to want to work for both employers you need a second H-1B.
Is your home office in Canada?
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The TN is specific to the employer. As long as that is who you are working for on a TN sponsored by the same employer, you should be fine. There are more details you need to work out so I suggest you contact an immigration lawyer. A TN job needs to be on the NAFTA Schedule A list.
An attorney-client relationship is not formed by my responses to questions on Avvo. My responses are not intended to be legal advice and must not be relied upon as legal advice.