The Textile Gallery, London
http://www.textile-art.com/

The Textile Museum of America
http://www.textilemuseum.org/

The Museum for Textiles, Toronto
http://museumfortextiles.on.ca/

The Costume Institute, The Metropolitan Museum of Art, New York
http://www.costumeinstitute.org/

Marla Mallett, a textile gallery in USA
http://www.marlamallett.com

Major source for material related to costumes and textiles
http://www.costume.org/