As to the Domestic, you really need a picture as early on Domestic changed and copied Singer - using their needles and shuttle and side clamp. Then White took over and Domestic became a White in different clothing- and that vintage machines takes what fits White (different needles and feet) . I think the Domestic Rotarys may all be White machines. It's easy enough to tell from a picture. However, at some point White changed to side clamp and size 15 needles - but if it's top clamp, it will most likely take longer needles.
Early Domestics are a very different breed - and have special needles, shuttle, bobbins and feet. But they sure are fun!. If it's got a fiddle base, then it's the oldest type.