OK, here goes....
Firstly 1 frame (or single image, if you like) is 2 fields.
PAL is actually "sped up" to 50 fields per second not 26 - Gordon's phrasing meant film at 24 frames per second is turned into 24 x 2 fields per second = 48 fields per second.
But pal needs 50, so the 48 is sped up ever so slightly by 2 fields per second to 50!
Now about NTSC, the tv is running at 60 FIELDS per second, or 30 FRAMES per second. Saying fps in this circumstance will lead to confusion, due to obvious reasons.
The reason you say a "standard" NTSC tv runs at 30 frames per second is because it is accepting the broadcast 60 fields per second signal! The TV puts the 60 fields (half frames) back together to make 30 full frames. A signal with the native 30 full frames is called progressive - one with the 60 fields interlaced.
The process of combining the fields introduces unwanted visual effects. This is the reason a progressive signal should look better than its interlaced version.
There are articles at
www.progressivescan.co.uk which explain this whole process in more detail..