The basic TP4056 module without protection has 4 terminals.
+VIN - VIN +VOUT - VOUT
You can parallel as many as you like to increase charging current.
Their behavior is quite random though depending on component tolerances and what happens (based on trial and error) is that if you have say 3 in parallel and you are charging a 3P pack of 18650's, provided you have enough input power, it will start charging with max current all three "red" charging indicator leds will light and as soon as current drops, one of the three modules will switch off and show charged... as charging progresses, the second module will also show charged and then when the pack is fully charged, the last one will also show charged.
If you use the following configuration in a stand alone charger that's that, you charged your batteries and all is ok... If you try to use the combination though to also power a load, two things will happen... 1. depending on the current you draw, the TP4056's will need to also pass enough current to power your load and will get hotter than normal for longer time and at the same time, the charging time will be much longer and 2. the batteries will never complete charging and at least one of the modules will be in charging mode constantly.
As for the input, you do need a back converter or voltage regulator to bring the voltage within specs for the TP4056... TP4056 is using a drop resistor in its input (i use 0.43Ohm, seen 0 ohms !! though in many of the chinese modules) and you should not exceed 5-5,5 volt if you want to use the modules you got at full charging current.
If your modules have output protection, you can stack them one on top of another with pin headers but their actual operation is even more hectic as there are more components involved and more "tollerances"... it will work... but not quite as you might expect.
What you describe, ie 3 modules in series with parallel output will NOT work
To go around and between these problems and issues, i have designed two modules
TP4056FLEXADV and
TP5100FEXADV... The TP4056 module is basically a combination of a back converter, charging and protection circuit and a boost converter in the output... the USB plug is reinforced (you will find out VERY soon that the usb terminal on the chinese pcbs is only one pull away from flying of the board, hopefully without shorting your power source), you can use a screw terminal and dc-jack to power the module allowing for a wide range of power sources and you can use screw terminals to connect to your load directly from the battery (with protection of course) or via the booster circuit.... There is a jumper to select charging current, no need to go through replacing a tiny smd resistor to do that... Input voltage can be either 5V-USB or 8-45V (i wouldnt go more than 24 to keep it safe unless charging current is less than 500mA) and output voltage is V-bat up to 24V 200-800mA or directly from battery.
TP5100 is a more expensive, and more complex module, allowing for 4.5-18V (20max not recommended) input without extra components and max charging current is 2A. Charging current here is fixed (I figured, if you need less than 1A, go with TP4056, no need to "waste" a more expensive chip to do the job of TP4056) and there is thermal protection for the batteries as it is wise to keep it safe and protect the average 18650 cell from overheating as they dont like 1C charge currents for prolonged time.
I expect pcbs and parts for the latest version of TP4056FLEXADV (V2.2F) which is improved and offers extra features too.... Unfortunately, i have sold out, otherwise i would be happy to send you a board.