Can you choose the option for logs from the installer menu, and grab the dmesg output? In order to tell why it's not detecting, we're gonna need to see what the kernel is saying about SATA for that device.

Sorry for the delay in responding - I was out of town for my daughter. I don't use Linux systems very often in my work (once every 6 projects) - I have turned on logging as early as I can - sending it to the web. The first time, I received two files - a hardware summary and a syslog. The second time, a couple more files including a partition manager - but the Installer hung here (the fit-PC2 was also very, very hot by this time - not sure if that changed the performance or not). Do you want me to upload the syslog (seems to be the only file with pertinent information)?

This report has been filed against an old version of Kali. We will be closing this ticket due to inactivity.

Please could you see if you are able to replicate this issue with the latest version of Kali Linux (https://www.kali.org/get-kali/)?

If you are still facing the same problem, feel free to re-open the ticket. If you choose to do this, could you provide more information to the issue you are facing, and also give information about your setup?
For more information, please read: https://www.kali.org/docs/community/submitting-issues-kali-bug-tracker/