All the Tuckaways I have picked up are personalized with the name of the owner, leading one to suspect that this was either something women really liked, or that it was offered free with the purchase of the pencil--maybe both!
When Sheaffer added a clip to the Tuckaway, it also was diminutive and snub-nosed.
The grey striated ones are made of celluloid, while the burgundy is made of the new post-war plastic. It has Sheaffer's "lifetime warranty" white dot.
They all have handy grip for your fingers, but the later plastic pencil (bottom) had a new smaller point. With its two-tone trim, it was the "Sentinel" model, while the striped version with the narrow band is the "Lady." There is also a "Triumph Crest" model with a gold cap. I'll be keeping my eye open for one. Maybe look for a mid-century desk doo-dad, too!