the material is different to what is referred to as cream crackle - my UK traveller has cream crackle, and it's a very different pattern to an aussie MK1 (including MK1 Cooper S, Mini Deluxe, later 850's - they all used the same stuff). I had a fairly good early roof lining, but binned it because it was a bit too fragile at the edges. Dad fitted one of the trims sold on ebay - it looks good, but I haven't actually looked at it closely to see the pattern
MK1 head lining material is different to MK2 material.
If the stuff that came out of your car doesn't have tears and damage, then re-use it, any discolouration can be painted with vinyl paint - my roof lining was repaired (he used two torn head linings to make one good one) and painted, and you wouldn't know it
it is really very difficult to get any trim items from UK that are 'correct' for an australian assembled car - like sports says, most of it was made out here, from locally sourced raw materials
I took some photos of the trims I have... excuse the darkness of the photos, the colours are all roughly the same
cream crackle (same on the 62 & 65 travellers I have/had) - looks like lots of little spider webs
MK1 - from my '66 panel van - looks like lizard skin
MK2 - from my '70 cooper S - kind of a woven look

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did I tell you that I won a
trophy?