Harry Bloomfield wrote:
Is there a particular name for the following type of door stay?

It has a flat metal bar which fits between two brackets, one on the
door one on frame at the top of the door. As you open the door it
latches in the fully open position and to release it to allow it to
close there is a pull cord. Often used on industrial and garage doors.

I can't seem to be able to find any locally.

http://tinyurl.com/gnvpx

Page 2?