I'm not an expert, but as far as I know they made the Series I California Spyders and in 1960 showed the SWB Spyder (with 280bhp and a 200mm shorter wheelbase) at that years Geneva Motor Show
So yes it seems there was two models.....but I'm not 100% certain if the second one in your pics is this one
EDIT: I just had a closer look at the pics, I doubt the second one is a SWB Spyder....they didn't look that much different from the LWB (Series I)