> What are the exact dates of these two
> Is there any evidence of equipment used in each
> Man in white suit newer photo
If memory serves, this is a photo of Adam Rutherford - founder of the Institute of Pyramidology - so dates to 1954, though possibly 3 or 4 years earlier.
Info on Rutherford is surprisingly scarce in Google.
> Lady in white dress older photo
A Google search of John and Morton Edgar throws up the photo of this lady, putting it in the summer of 1909 (date of J & M's first trip to the Pyramid to take photos).