KimoKeala :
All I want is to use my spare coax cable as a telephone line. As I understand it, a telephone line needs only a pair (two conductors). So is there some adapter that will use the inner coax conductor and the outside sheath as a pair of pseudo wires so I can use it for telephone service?
Phone (and ethernet) cables use a twisted pair. The signal is inverted, and the signal is transmitted on one wire, its inverse along the other. At the other end, you invert the inverse and add it to the original signal. This cancels out (almost) any noise picked up by the pair during transit.
It will not work with coax, mainly because the outer sheath will shield the inner coax from any noise. When you recombine the two, the noise will remain and degrade the audio.
What you're trying to do *might* work with a pair of RJ45 to BNC baluns. Balun stands for balanced/unbalanced. In audio, the inversion trick I described above is called balanced audio. To run a balanced signal (like XLR) over an unbalanced cable (like coax) and vice versa requires a balun - a device which converts between balanced and unbalanced.
Unfortunately most baluns are designed for running video (coax source) over ethernet cable. In theory it should work the other way around. However, I'm not sure which wire pair the baluns use. A phone jack (which will fit into an ethernet socket) uses the two middle pairs. Either you'll have to get a cheap balun, hack off the end of a phone line and rewire it to the correct wire pair of an RJ45 jack. (You don't need to use power - it's for powering a camera via the video cable when there's no power outlet nearby.)
https://www.amazon.com/VIMVIP-HD-CVI-Passive-Connector-Transmitter/dp/B06XCGZ3H5
Or you'll have to get a pair of baluns which lets you access each twisted pair so you can connect the coax to the correct twisted pair.
https://www.amazon.com/uxcell-Channel-Passive-Video-Transceiver/dp/B001WANGQM/
Also, be aware that while the shielding on the coax should help block noise, you can still pick up noise from anywhere else in the house that has a coax outlet. And if you're planning to make phone calls, you'll still need phone service from somewhere. This setup will only work for extending an existing phone connection inside your house to a room without a phone connection.