To cut or not to cut - that is the question?

This is one of the pieces from my collection that I am contemplating cutting up. It has a number of stains on it that won't come out. The individual sections are very pretty and I think they would look good as a small wall hanging.

Antique table topper

I think this is really interesting. The embroidery was done on sheer fabric and when you look at the back it reminds me of trapunto.

Antique chair back cover

This photograph does not do the piece justice. The colors are a lot brighter. I'm not an "embroidered basket with flowers type person" but I love this one.
In years gone by the chairs in the best parlor were used to display pieces like the above. Not only were they pretty but they were also practical. They could be washed thus preserving the integrity of the chair back from sweaty heads and oil plastered hair :)
I think this piece might have also been used as a table runner.