Can't you locate the person adress with her IP? I dunno about this maybe I watched too many movies.
But if you can then just go to the adress where the console is being used and ask for your console.
But yeah that sounds too simple.
You can't. The ISP easily can, but you only get the general location wherever the IP reports.
It's a good thing it isn't so easy because otherwise doxing would be extremely simple.
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Fortunately the police have come round the house before for a couple of reasons, so it shouldn't be too much to explain the situation.