1 - what version of Node-red and node.js is the original computer running? (you can get this from the startup log)
2 - what version of node-red-node-ui-table is the original computer running?
3 - what type of device is the original computer?
4 - what type of device is the new computer?
5 - what version of Node-red and node.js is the new computer running?
If the node-red-node-ui-table running on the old computer is not the current version (v 0.3.12) you could try installing the prior version to see if some change is causing the issue.