Getting data from an HDD after replacing it with an SSD

in your new system did you setup your configuration as MBR or GPT? also, what was the older one configured as? (did you change anything at all in the bios setup?)

Was your old drive encrypted? , you could do the opposite, reinstall the old drive, boot from it, and then copy data to your new one, just to be sure both are working and you have the proper settings/drivers etc for your old one in place.

Hi
I doubt the 'SATA SSD cable'
As Arana mentioned, connect it back and ensure it is working as expected. If it works, use a quality external drive connector and try. Hope it would work.

Regards

May not be enough power on your SATA to USB cable, but your PC takes more than one disk so just connect it to another SATA cable inside it.

try using different USB port as it might be not enough power in the one you are trying to use (usually the ones in the back if its a desktop, work better), if it is usb 3.0 then make sure you are pluggin it to usb 3.0 , if you are only connecting the old drive via usb cable, naybe the power from the usb port is not enough, try to plug it with power from your powersupply (if you have desktop you most likely have more than one available) if its a laptop then try different ports on your laptop one of them may have enough juice.

Hmmm....most of the comments above focus on power.  Will try to connect via a SATA port to connect to see if that works.  Have tried connecting to the USB 3 ports on my Dell XPS13 and the USB 3 ports on my Dell XPS8700. No luck.   If I connect it back up to the 8700 won’t it try to boot since I cloned the SSD from the HDD?

It will boot from whatever drive is connected to the first SATA port unless you change that in BIOS, so if you used the original connector for the SSD it will boot from that. Won't matter if it boots the HDD anyway, if it does just shut down and change the boot order in BIOS.

When I get a chance I will try that option.

In this sort of scenario, I'll usually purchase an external case for the original drive (instead of just a cable) for $10-20US on Amazon.  If it's a 3.5" drive, the case should come with a power supply, so power shouldn't be an issue.

The added advantage is that when you're all done, you have an external drive to use for backups or large transfers to other systems.

yousaid you cloned the 1tb to SSD  - why do you still need the data?  it is on the cloned drive
also - disconnect the 1 TB drive, and connect the SSD in it's place - it will boot from it

I told you it was lack of power first!