Voltage, current measurement from solar panel using INA219 and ESP-12F
You connected the V- and V+ probes of the INA module direct to the V- and V+ of the solar panel. That means you connect V+ with V- from solar panel  over a 0.1 Ohm resistor. That is like a short. The Solar panel gets overloaded and the voltage breaks down. Lucky you, the solar panel can not provide more current. If it could, then the shunt resistor would be grilled. RIP ;-). Try put the v+ and V- in series with the LED and LED_Resistor. e.g.
Solar+ --&gt; IN4001 --&gt; INA+ |no connection| INA- --&gt; LED --&gt; R(LED) --&gt; Solar-

That would make more sense. It'll show you how much current is drawn by the LED.
If you want to know how much current the panel can deliver, you would have to build a circuit with a potentiometer and measure the Voltage between V+ and V- of the Panel. You can also use the INA to mesasure the current through the potentiometer. Begin with a high resistancy, then turn the poti towards lower resistance and check when the voltage breaks down. The INA shows you the current. But be aware that, the max current depent on the amount of light the panel is exposed to and on the age of the panel itselves. So the values will change as these conditions change.