This is the original fabric that came off. It was made into a sort of a cushion with burlap on the back which was then tacked to the chair frame. I don't know why this method was used but it doesn't make sense to me, so I part ways with the original chair right from the start.
And here is the dog:
(I added height to the chair by using leg extenders that are intended to make it easier for elderly and handicapped people to get up and down. They made the chair about 4" higher and the perfect height for my sewing table.