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The Woburn web site says they have Rothchild giraffe (G.c.rothchildi) only. However, the markings on the front giraffe look too clean and are on too white a background to be Rothchild - more like reticulated giraffe (G.c.reticulata). On the other hand it has the 'white socks' of a Rothchild so it may be a cross, they interbreed easily and are often kept together unfortunately. Another problem is the intermediate featured individuals don't appear till the second generation.
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I am no expert so will go with your view - it certainly makes sense.
Thanks for the information.
Lat/Lng: 52.0114, -0.583
OS grid ref: SP973357
Guests of Woburn Safari Park