He he, this was fun...
While browsing this list of the Desert Air Force:
http://en.wikipedia.org/wiki/Desert_Air_Force
To check the squadron codes for all the 1942 Kittyhawk I:s I was looking at 2 Squadron SAAF that was a suspect flying Kittyhawks in the desert of 1942... When looking at this page:
http://en.wikipedia.org/wiki/2_Squadron_SAAF
I scrolled and to my amazement coming from Sweden they currently fly JAS-39 Gripen

It's a small world (even though I knew we sold Gripens to South Africa).
Still - HS feels like the best bet anyway...
From some quick research - the other squadron flying Kittyhawks for that time frame in Sahara where (omitting the USAAF naturally):
Code - Sqadron
---------------------------------
DB - No. 2 SAAF (now flying JAS-39

)
CA - No. 3 SAAF
KJ - No. 4 SAAF
GL - No. 5 SAAF
GA - No 112. RAF
LD - No. 250 RAF (Kittyhawk IIA though)
HS - No. 260 RAF
OK/DJ - No. 450 RAF