Before directly answering your question, is this coming up frequently or do you just need to Force Relinquish once on this model?
https://knowledge.autodesk.com/support/bim-360/troubleshooting/caas/sfdcarticles/sfdcarticles/Relinq...
If this is happening frequently, the next question you should ask is why is it happening frequently. Also then, my next question would be is this BIM360/ACC hosted or not? Is there a service running on your models that are opening and doing some type of task?
Nothing to my knowledge writes the IPAddress to a network location. Whether this is Journal files or something else. You would then have to gather Journal files from individual machines anyways so this would not help in your circumstance.
Also, nothing you could do with the API unless you have an addin that saves the IPAddress of the machine to a network location. In that scenario, you would have to install an addin to all machines in your company. But, would be happy with other thoughts from the community.