It's been a while since I've seen RotJ, but didn't Luke specifically ask if she remembered her *real* mother, to make it clear that it wasn't Bail's wife she was talking about? And it's not a big deal, to me it's just another example of Lucas' sloppy writing and not caring if his newest stories matched up with what he'd written previously. Padme needed to die right after Leia's birth and it didn't matter if Leia specifically stated in RotJ that she died when Leia was "very young", which usually means one or two years, not one or two minutes.
And yes, you could say that it was the Force that enabled Leia to remember a woman she interacted with for only a few seconds when Padme named her, but then you have to wonder that if Leia had latent Force abilities such as that, why Vader didn't sense it AT ALL on the Death Star, even after he spent days in close proximity with her during her interrogation, which included a mind probe.
The medical droid stated that she was "completely healthy", she just didn't want to live any more. And Obi-Wan didn't seem to notice anything amiss with the Force, which I think he would have if her death was due solely to Force shenanigans like her life force being drained, which doesn't match up with her being perfectly healthy anyway.