This large rose drawing is from The Book of Roses, a work published in 1871. The author, Francis Parkman (1823-1893) was listed as the illustrator. This drawing does appear to contain two signatures and neither of them look like the author’s. My guess is it could be the engraver. But, regardless of who drew this beautiful rose drawing, with a publication date of 1871, I’m fairly certain it is in the public domain everywhere.
Seems a shame with a book focussed on roses that the author did not identify what variety of rose is depicted in this drawing. What we do have is a cut rose with lots of leaves and a secondary rose bud. I would think that this flower image would take well to a color wash of greens and rose colors. There is also a very similar picture from this book, it can be found here.
This image is copyright free and in the public domain anywhere that extends copyrights 70 years after death or at least 120 years after publication when the original illustrator is unknown.