How do I change a device name from the iCloud web site? My family has several iPhones listed under the "Find my iPhone" section of the iCloud web site. Unfortunately, they all have the same name "'s iPhone".

Two of the phones are older models and have been given to other family members. One of them I have been able to change the name directly on the device. The other I cannot change the name directly on the device because the device currently won't power up.

One day I hope to fix this, so I don't want to remove the device from the account.  But at the same time, it's annoying having two devices with the same name. The other device is correctly named, so I don't want to change its name, I want to change the name of the (currently) inoperative device.

How can I do this directly from the iCloud web site?
You change the name on each device in: Settings > General > About > Name.   

Just rename it and you're done!