According to Replacements, Ltd:
Manufacturer Status: Discontinued Actual: 1941 - 1984
Pattern: DESERT ROSE (USA BACKSTAMP) by FRANCISCAN CHINA [FN DERO]
Description: USA BACKSTAMP,PINK ROSES
I don't know what you mean by 'old' - but since these pieces are marked 'USA', and production was discontinued in 1984 in the USA, they can't be too new. I remember my Mother using them when I was a small child - perhaps 60+/- years ago. I don't know when she bought them, but I'm pretty sure it would have been before the 1950's. I'll be glad to send photos if you're interested.