Dennis, yours is a Don Bosco "Mosquito".
That one is the Eico.
If you want to, I would like to own a Don Bosco Mosquito.
Been looking for one for a long time!
My mentor in ham radio, Bob Barkey W2UO (sk) had one, and it is FB for troubleshooting
RF & audio boatanchor stuff!
The circuit for the Mosquito was never published, but I think it is/was a "blocking oscillator, with the "coil" out near the tip, which accounted for its ability to "broadcast" to nearby grids without touching.
Popular Electronics or Radio Electronics had an article back in the 60s for something called the "Tracex" which I built back in the day. It did not have the coil and the same effect, but had the benefit of connecting a crystal earphone to it to listen, pull the plug and it was an injector.
Can post the schematic of that if anyone is interested.
_-_-bear