Our reference for 1759 is the statement in "Modern Roses". Unfortunately, they do not state where their information comes from. Our earliest reference is dated 1770, with later repeats in 1775, 1797 and 1799. However, we will investigate and come back again.

I do not know if this may help.
A couple of references to Rosa Incarnata Damascena can be found in Teatro farmaceutico dogmatico e spagirico del Dottor Giuseppe Donzelli.
In the 1704 edition, page 162 “ Si chiama incarnata, per la similitudine, c’ha il suo colore con le carni delle vaghe, e delicate Donzelle. Nelle Spetiarie ha nome volgarmente di Rosa solutiva, & anche di Damascena: Nicolò Monardes asserisce darseli quest’ultimo nome, Quoniam ex Damasco nobilissima Syria de Urbe credum devenisse (Tratt. De rosa), e che si chiami Persica, vuole inferire l’istesso Monardes, che da Persia sia derivata, che perciò dice Unde prius originem duxerunt,..”
Translation “it is called incarnata for the colour resempling the blush of girls. In the herbalists it has the name of Damascena: Nicolò Monardes says that it has this name because it comes from Syria. And the same Monardes says that it is also named Persica as originally it came from Persia.

In the 1726 Edition, page 126 “Gasparo Shuvenckfelt dice, che la Rosa Prenestina sia la Damascena, ma di una spezie minore chiamata Rosa solutiva minore, ed anche Incarnata, o Precox cioè Primaticcia …” Translation “Gasparo Shuvenckfelt says that the Rosa Prenestina is the Damascena, but a variety called Rosa solutiva minore or Incarnata ..”