The first thing to check when the picture is gone is whether the high voltage supply to the picture tube is working. Without the high voltage, usually somewhere around 20kV, there's no incentive for the electrons to leave the gun and smash into the phosphor to light it up. Oh, I suppose the
first first thing to check would be to see if the cathode filament is lighting up, the orange glow you see in all tubes, it would be at the far rear end of the picture tube, opposite the screen.
WARNING: DANGEROUS and possibly stupid instructions ahead!!!
Anyway, back to the high voltage. Testing this is
NOT for the foolish or faint of heart. It probably won't kill you, there's generally not enough current available, but, depending on the particular TV, it could kill you. In any case, if you get shocked by it, it will hurt like hell. Don't ask how I know.

OK, I'll admit, I've gotten whacked a few times over the years fixing TV's and video monitors.
If you don't have a high voltage meter, a quick and simple way to test this is to take a long thin screwdriver with a plastic handle, attach a wire firmly with something like alligator clips between the screw driver and the chassis. Carefully push the tip of the driver under the rubber cap at the end of the big wire going to the side of the picture tube making sure you hold only the plastic handle of the screw driver. This can actually be done with the power off, just make sure it hasn't been off a long time. The voltage will still be there for a few minutes (or even days in some sets) after power is off. If there's high voltage, you will hear a loud snap as it arcs to the screwdriver. If the power is on, you will continuous arcing, don't leave the driver there too long.
If you don't have any high voltage, the most likely cause is that the horizontal sweep oscillator is bad. I don't know about Philco's, but in nearly ALL TV's the high voltage is generated with a "flyback transformer" from the horizontal sweep oscillator. In tube type TV's there is generally one tube that runs the horizontal. This tube a bit prone to failure because it's working pretty hard oscillating at 15.75kHz. By the way, if you still have good hearing, you can generally hear the 15.75kHz squeal of the oscillator running. If you've replaced the horizontal tube (I assume those old Philco's were tubes, right?), there can be a number of other things, the HV circuit will have a diode, which if bad will cause no picture. You won't get much, if any voltage either since the diode is an integral part of the way the flyback circuit works. It could also be the flyback transformer itself, these do go bad, but it's fairly rare in older sets. They were built tougher back in those days.
Well, that got a lot longer than I thought. I'll end it there, but feel free to ask for more if you want...
I have NO idea what to do with those skinny stringed things... I'm just a bass player...