I am like you I like those old chairs too. I am short and like to have my feet touch the ground when I am sitting down. Maggie O said it, hit rummage sales and fleemarkets. We go almost every weekend and Maggie is right, people will almost give them away. About 2 weeks ago I passed up a really cool webbed rocking chair with foot stool for $2.00. I would have bought it but my husband gave me one of those looks when I said "Look at this honey, will it fit in the garage until camping season?" His look said it all, so I kept walking. Kind of kicked myself for that as it was in great shape and very comfortable to me.
If you do find one and the webbing is not in great shape you can by replacement webbing and re-string it yourself. Last I looked, my local Ace Hardware carried the replacement webbing.
I would be glad to keep my eyes peeled for a couple of webbed chairs, cheap and in good shape for you if you would like. Let me know how many you are looking for. Can't promise you a certain color but would be happy to look for you. Let me know. Now that I have said that will probably not see another one for 6 months.