Are auxiliaries of an NPO corporation covered under 501c19 also considered to be under the same exemption and tax-id information as the parent organization or do they have to be set up as separate organizations and file taxes and for exemption status separately?

Second, if the NPO or it's auxiliaries utilize a service such as cafepress (a service to create merchandise with your own logos) to generate income for the organization (the funds would go into organization projects and to keep the organization running) does that affect their NPO status in any way?