After faffing about with the idea of using a USB stick (no joy), a thought occurred. And worked. This was the process.
- Upload the .mobi books from the computer to a folder on Google Drive (this could be done with Chrome Remote Desktop, or from the USB stick itself)
- Set up an Amazon Kindle email address (see https://www.amazon.com/gp/sendtokindle/email - this requires accessing Amazon account to set up the address)
- From Google Drive (probably Dropbox works too), email the .mobi files to the Kindle email address
- Connect the Kindle to wifi
- Books download onto Kindle
Neat!