babeliciousuk
We are in the UK - which department store was it from?
I have to agree with RugPro, they do look like viscose. Have you tried a burn test? The first one looks machine-made and the red one looks like it's probably handmade but they would rarely do these designs in real silk... mori jaldar/bohkara variations which are Pakistani rugs.
Better pictures of the back (knotting) and fringes is really needed for both these rugs.