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You can also use turpentine in place of oil.
What an imaginative and innovative project! I trust your sister will appreciate all the work you took. All those who feel you desecrated an antique can get plenty of old radios to restore for themselves, it's a nice hobby. But I like what you did. Not much on AM but ranting religious or conservative or sports talk programs. At least you retained the look and feel of the old technology while making something that someone will actually listen to.
For several years I used a string of battery powered Christmas wreath LEDs with a normally closed magnetic switch. A magnet keeps the switch open. Open the door pulling the magnet away from the switchcauses the switch to close and the lights come on. Lights turn off when the door is closed. Three AA batteries lasted for over 2 years.My small magnet sticks to the steel hinge without gluing. Mount the switch to the door frame next to the magnet. Just cut one of the LED strands and wire to each end of the switch. Couldn't be easier. Digi-Key or a local electronics store should have them. This illustration shows one that can be wired open or closed, thus the three terminals.
12 Awesome Hot Glue Hacks