Find My Friends shows my old phone

I found the way to do it on iOS 8: Settings > Privacy > Location Services > Share My Location > From

Then is will show the list of current and old phones. It has instructions: "If you're no longer using a device, swipe left on the device name, then tap Delete."

It worked for me!

In addition to what's on that Apple page, here's what's going on: Your two devices have the same name, so you need to change the name of the iPhone 5S: http://support.apple.com/kb/ht3965

Once you see the both devices showing on iCloud with different names, then you should be able to 'eliminate' the other device per the instructions on that page on removing Apple devices from 'Find My...'.

Tech aside: Different UDIDs, same 'device name' causes headaches...

had same issue tried all hove. went into settings and location services and i noticed i had find my friend app unchecked needs to be checked to locate

I've had the same issue and I can say that iCloud does show duplicate names for different devices with the same name. Furthermore, removing the old device from iCloud still leaves it displayed in the Find Friends app.

However, removing it from Privacy > Location Services > My Devices takes care of it.