Is it one with "cane" back and seat. Does it look like this:
If so, it's a neat DIY project. I did one about 35 years ago and it just takes some patience. The "weaving" process is done in steps but not hard at all.
If this is the type of seat material you can learn how to do it yourself here:
https://www.wickerwoman.com/articles/chair-caning-instructionsIf you decide to do it yourself some things I learned from my project. First take all the old material off. If it has a bead of wood at the end of the caning that covers the holes the cane is strung through take that out first. A flat faced pin punch from the bottom and lots of patience so you don't break it if you can avoid it. If you do you can use doweling soaked in water (or steamed) as a replacement.
Send the frame out to one of those furniture stripper joints. The kind where they just hang it in a chamber and the vapor strips the paint. Will save you hours of cleaning. Then re-glue all the joints. I found that drilling a real small hole and using a syringe filled with "Elmers", fill the joint with glue. Drill a hole on the blind end of the joint and use a meat injection syringe. I've taken some apart in the past but old wood workers often slit the end of the "tenon" and inserted a wedge. When the parts were assembled they smeared glue on the tenon and then pounded everything together with a big cowhide mallet. This forced the wedge into the end and expanded it. Over the years the glue powdered but the wedge held pretty well resulting in an hour-glass shape. Makes it a bitch to take apart easily so I now just inject glue. Make sure the hole is small enough that when you insert the needle you actually have a seal so the glue is forced into the joint and all gaps rather than just flowing back our alongside the needle.
As to it's value? If it's in good shape and truly about 100 years old, it could be worth some real $$. Really nice ones sell today for over $1,000. "Antiques" can sell for even more if from a well known company. At the least you'll have a neat looking rocker that will be comfy to sit in on the porch while enjoying a Brandy and Cigar.