Help identifying my vintage 1930s Rolex please

[smithcorp]

Hi there - I have registered on the forum in the hope the knowledgable folk here can help identify my old Rolex.

I inherited my Uncle's 1930s gold manual watch which family lore says is a Rolex of some kind (Tudor or Oyster). My Uncle received it for his 21st in 1935 (and my father received a similar watch for his a few years earlier).

There are no maker markings on the watch other than an engraving on the plain back. The face has an unusual gold-coloured lozenge pattern and the 12 marker is red painted it seems. Sweep second-hand sub-dial above the 6.

I'd appreciate if anyone can shed light on model and year please. From Googling old Rolex images, it certainly looks like an old Oyster, but I haven't been able to find any pictures with the same type of face design (lozenges).

I'd also appreciate advice on the right sort of authentic strap to fit to the watch.

Thanks in advance

smith