OK, I can't resist a challenge.
I found 3 recipes for mulligatawny soup in my cookbooks that are either not on EYB or unindexed.
Troth Wells' The Spices of Life (unindexed) has a pretty basic version, with loads of spices but only carrots and onions as solid ingredients. Not what you're looking for.
Avanelle Day's The Spice Cookbook (not on EYB) has an eighties version with chicken, carrots, celeriac and rice, but with curry powder as the only spice.
Mary Berry's Classic Home Cooking (unindexed) has a recipe that looks golden on the photo, uses ginger, cinnamon and turmeric, and has apple, carrots and celery (and more vegetables) in the ingredients. If served over rice I think it would get pretty close to what you describe.
Do you want me to copy any of the recipes for you?
I might actually try it myself, as I've never had it before. Indian food is not really part of the Dutch heritage - we usually have Indonesian or Chinese food instead.
(edited to correct typo)