I think they are usually just called crimp connectors, and are defined by their pattern and pitch.
So, for example, a USB header on a standard motherboard is a 2x5 crimp connector with a pitch of 2.54mm
So, 2 rows of 5 connections with a distance between the centre of each connector of 2.54mm
If you are able to accurately measure the pitch of the connector on the use device, you could order an appropriate connector and use an old ide ribbon cable to crimp those connectors on to
This site has many options if you prefer to use single pin connectors...
http://www.hobbytronics.co.uk/cables-connectors/crimp-connectorsCheers
Mike