Help identify vintage Rolex watches?

[RichardBens14]

Hello. I recently inherited 2 vintage Rolex watches. I took them to my local Official Rolex Dealer for identification but all they could tell me were approximations.
They verified that they were genuine, and guessed that they were some of the first Rolex watches made, somewhere from the very early 1900s.
The movement in the mens watch visually turns when wound up. The woman's watch does not seem to currently work.
Anyways, I am hoping that someone here can shed some light on what they are. i.e. the model, date of manufacture, and maybe even approximate value.
Thanks for any and all advice. I am obviously brand new, and greatly appreciate your time.
-Dave Olsen