If its looks newer, then it may take a different shuttle, bobbins and needles. Domestic went through changes and what we listed is for the oldest (like those from before 1900). I found reference to Domestic Cabinet #3, but nothing where that was ever a machine model number. Does not mean it wasn't, only that it's not providing useful information in identifying exactly what you have.
If it does not look quite a bit like this, then it may take a different needle (a more common one, luckily)