It's like either "Free" or "New Home" or something like that.
You can tell by the needle plate.
http://www.ebay.com/itm/ANTIQUE-SEWI...item1e844c351a
or
http://www.ebay.com/itm/1940s-antiqu...item35cf8ee649
of couse, I'm not sure which company took over which - I think White got them at some point . . . and then they started looking like White machines.
I have some Greist attachments that have rather unique shirr plate and under braider - and it turns out they fit into the two holes on the needle plate - and they fit nothing else. The needle is also slightly offset from the centerline of the pressure foot bar.
I don't have a machine like this, so I'm not 100% sure they would fit- but I'd send them just to find out!