Remove the existing fabric off the Queen Anne sofa. Use needle-nose pliers to remove the staples or tacks that secure the fabric to the padding and frame. Work carefully around the edges because the current fabric will serve as the cutting pattern or template for the new fabric. Remove the fabric from all the upholstered parts of the sofa.
Inspect the quality of the exposed padding to determine whether it needs to be replaced. Remove the staples that secure old, torn or worn out batting to the frame. Cut out a new piece of foam padding and staple it to the frame using evenly spaced upholstery staples.
Spread your desired upholstery fabric face down on a clean surface. Spread the fabric cutouts over the new fabric. Pin the cutouts to the new fabric so they do not shift while you trace their outlines.
Using a marker, trace around the edges of each cutout over the new fabric. Ensure the cutout you are tracing does not shift or move while you draw its outline. Work your way carefully when cutting rounded edges or patterns on the fabric. Remove the pins and set those and the cutouts aside.
Cut around the outline of the upholstery fabric using sharp fabric scissors. Cut each piece carefully so you do not extend the edges of the fabric. Also remove any loose frays or threads from the fabric cutouts.
Drape the new fabric cutout over its corresponding section of the Queen Anne sofa. Tuck the edges of the fabric into the padding to stretch it taut over the padding. Insert a row of evenly spaced upholstery staples into the edges of the fabric to secure it to the frame. Repeat this process to cover all the upholstered parts of the sofa, in turn, such as the seat, inner back and outer back and arms.