I'm rolling around the floor laughing from PRR's analogy , ;D
No such thing as a stupid question in any case ,better safe than sorry when it comes to live mains power. respect the power .
I think you kinda kicked yourself in the ass by asking the question St Gillis , of course you have to consider V=IxR if you want to share the volts evenly .You knew that too
Good point about series connected heaters in vintage radios ,I notice the sets that live longest are the ones with a properly engineered heater supply , not 'a puppet on a string' supply where, as one fails the rest are overvolted then disconnected. I remember as a boy my Grandad had this beautifull 'Bush' radio ,its had amazing big bakelite dials with backlit scale ,it was transformerless , no metal was exposed in order to prevent shock hazard ,my fingers were so tiny I could touch the grub screw on the dials , so I actually used get a little tingle of mains leakage off the radio ocassionally . I have seen other sets along the way where boot polish or wax was used to fill the holes in the dials , I have to try and see if that old Bush set still resides in my uncles place , Id fit that out with a nice iso transformer and use it myself for another 40 years.
Morning StG , I think if you have identical transformers with similar loads off them ,its worth a try series connecting them ,power it up and see how the volts divide across the two loads .
Lets suppose you take a pair of 110 volt powered monitors ,and gleefully strap them across the mains , now imagine you play the Beatles mixes with hard panned sources ,one monitor is driven to full power while the other remains silent , its not going to be long before 'Heuston we have a problem' and systems are down . I you do want to load share ,you at least want two devices that draw the same current,same transformer and with very little fluctuation in load current .