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This version is based on the work of Rudolf Witzel,
Hessen Kassels Regimenter in der Alliierten Armee 1762, 2007, which shows the army in its very Prussian-style uniforms after the 1761 regulations. Note, however, that there is evidence that just about the whole Hessian army were still in their previous uniforms at the end of the winter of 1761-2 (thank you to Christian Rogge for the information!) so this shows the new regulation uniform rather than how they actually appeared in the field until perhaps much later!
It seems more and more likely that various features of version 1 (see below) (e.g. the plume) may have been extrapolated from the American War of Independence uniform and not relate to the SYW period at all. Reliable information about the early SYW Hessian uniforms is not easy to find.