It may be worth going into Oxfam and buying a cuddly toy and let the kitten transfer its affections to that.
The mention of Siamese Kittens reminds me of the six that our Siamese had.They ran up curtains and along the track.They could shin up wallpaper to the ceiling and gently slide to the floor leaving parallel scratch marks down the paper.Would run up your leg and back to sit on your shoulder ,wether you were clothed or not.One day we went out and on our return all were missing in a closed room.We hunted for ages and eventually found them in the back of a gas fire central heating system that was about to ignite.They had all crawled through the minutist of gaps and my torch picked up twelve little red eyes at the back of the system sitting on top of the gas rings.
I had to turn the gas off at the main,dismantle the fire and pluck them out one by one at full stretch from the back of the central heating system.It took two hours of bits of wire wrapped around matches to re light the pilot light.
Al