Below, see a Waterman Check Pen in Red Hard Rubber. More details below the pic.
Measuring around 3.5" closed, the Waterman Check pen fershure is an odd-duck. Per Tifft, it appeared in the 1908 Waterman Catalog and was advertised in '09, but the end of production/sale is uncertain- a not uncommon situation to vintage pens.
The barrel-nib assembly reflects the 1880-s-1890's intro'd pens known as straight holder (with either straight cap or taper cap) in which the section and the blind end of the pen both features a step down so that the cap fits flush to the pen when posted or closed, not bulging around the pen as one would see in the more common cone-cap style. It thus reflects the 2-x series(twenty-something, with "something" or X being marked by the nib size) and the -X or 0-x series (the first watermans featuring straight cap and just nib size for entire model number).
This one is very short and has a mushroomed/flared cap top.
The pen is known to me to exist in smooth black and smooth red and in smooth black with silver filigree overlay. Other overlays I've not seen, and Tifft, too, cites no other overlays. I don't know offhand about mottled and chased black, but have not seen those.
The pen does not carry a model number- at least not one stamped on the pen.
This is a high cachet item to Waterman collectors and a clean red one retails in the couple-few thousand dollar range.
Truly a pleasure it was to photograph this one.
best
david