They may have used small dowl rods or biscuits to join the chair. Which usually means a void/rebate is created and then a proud piece glued into the void. (Think male/female sockets etc). So you may be able to gently tap (rubber mallet, not metal hammer) to get the pieces apart. Use fabric or thick wadding or sponge to protect your timber when you whack it.

Hi all thanks for the suggestions. Won't be getting eames dsw as they are so many replicas on groupon here . Every cafe has them! Love the other ideas though. Thanks Here are pictures of the rest of the space

I would love the rocking chair too, but way too expensive for me, unfortunately!! Yellow could be good... hmmm, will have a look, thanks

I am blown away from down under by the help that you all have freely given .... thank you sooo much indeed. who would have thought after a year of anguish that I would be put out of my misery! If I do go for the atlantic for chairs I will bring in plum touches and vice versa. Will now need to go and find some plum that closely aligns with your suggestions. Thanks for saying we can keep table! It is a good solid NZ made oak one ... chairs were all the rage back about 18 years ago! Now need to go! I will put up a pic of a rug that was quite nice but rather expensive so ... might be in an hour or so. Thank you so much again.