The one in Jon's post is a White made machine, and I know at one point White did take over the Sears contract (when they took over Domestic).
Or you could technically say this is more likely a Domestic machine, but made after they became White . . .
Anyway, it looks the same as the White, so I'd expect any "White" bobbins will fit. Which is good for you, since White Rotary is a very common machine.