Picture three shows two "chokes" /filters . I would say that you have knocked two different filters off of two separate locations. The only other time you might have two like that is if one side is not working. You need to test the filter for continuity (resistance preferred or diode mode). If both sides have continuity then put them back on the board.

@matrs Appreciate the response.

Anyway of identifying them in more detail as I would ideally like to replace them? If I test them for resistance will this give me the info I need? Fairly new to this, apologies. 

For context, I removed them accidentally from one board, lost one piece, attempted to replace them from another board, and damaged that choke/filter! Not a great afternoon's work. 
Having done it twice, this is how I do know they both came from the same spot, stacked one on the other, I'm assuming this is an unusual set up? 

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Anyway of identifying them in more detail as I would ideally like to replace them? If I test them for resistance will this give me the info I need?

This is both a yes and no answer to measuring the resistance. These items will have both a resistance and an inductance that will need to be matched. The easiest way to get this information is to get a schematic for your device. However using an ESR meter can also be of use for finding this. As long as one of the components is working.

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Having done it twice, this is how I do know they both came from the same spot, stacked one on the other, I'm assuming this is an unusual set up? 

Stacking them up on top of eachother soldered to the board or just stacked PCBs to remove the components?

If you stack the components up in a soldered fashion then you will reduce the resistance as you have put them on parallel (Kirchoff's law).