The tools you need to remove the old fabric are leather mallet, tack lifter, staple puller, and pliers. The place to start removing the old fabric is the last piece attached to the chair when it was new. This is the dust cover on the bottom of the chair. I also took a lot of pictures at different stages in the deconstruction. They came in handy when I was trying to remember how the chair should go back together.
The center picture is how it looked when I first brought it home and the first two pictures in the upper left are close up of the carvings. As I stated to take a chair apart you remove the dust cover first. Be sure to mark all your pieces as you remove them and save all the horse hair and cotton padding pieces too. All the old pieces will be used as a pattern when putting the chair back together. Once the dust cover been removed, move on to outside back followed by the left and right outside arms pieces.
Now I started removing the right and left inside arms pieces. Both the inside and outside arms were made from two pieces sew together. The upper arm or wing section is one piece and the lower arm is the other. The arm on this wing chair had another piece I will call the cap. The cap is the arm rest part on the lower chair's arm. There were hints of a braided cord wrapping around the cap. After I finished removing all the padding on the inside arms and back, the springs in the back were removed from the frame. Do not remove the springs from their backing wait until it is time to remount the springs on the new backing. The picture in the lower left hand corner shows the back springs.
Finally it is time to put off the seat and nosing off the chair. The nosing is the fabric covering the front bottom of the seat area. The seat also has springs in it. These seat springs were wrapped and sewed in cotton fabric as a single unit and attached to the broken webbing.
I made sure all the tacks were pulled out of the chair's frame and then filled the many holes with wood filler. Later I sanded down some of the high area created by the wood filler. The chair's finish was cleaned with a 3 in 1 solution. Now it is ready to put back together.