I've read that sometimes when an SSD fails, it will fail into "read-only" mode.
I've never experienced that myself -- I've had two SSD failures, and in both cases the drives "went dark", never to be seen again.
Here's a quick trick to try.
It may help -- or it may do nothing.
1. connect the drive
2. let the icon mount on the desktop
3. click ONE TIME on the icon to select it
4. bring up the "get info" box (type command-i)
5. at the bottom of get info, click the lock and enter your password
6. put a check into "ignore ownership on this volume" (sharing and permissions)
7. close get info.
NOW try to write something to the drive.
Do things improve?
(again, no promises).
More thoughts
Was this drive a "ready to use" (all assembled) drive?
It was a ready to use drive. I tried what you suggested and oddly the drive was locked. I unlocked it and was able to copy a folder (small files) When I tried to copy a large folder (images) it started and just froze as soon as the status bar popped up.