History of the Rose - ‎1954
Roy E. Shepherd

In 1818 another resident of Charleston, John Fraser, created a variety of the same parentage [as Champney's Pink Cluster] and became so enthusiastic about it that he personally took a plant of it to England in 1821. There it became known as Fraser's Pink Musk or the Blush Musk and occasionally as R. Fraseri, although the latter name was never accorded botanical recognition. The medium-sized, semidouble, intensely fragrant blush-colored blossoms borne in large clusters denoted that it was a typical Noisette.

I'd like to make a suggestion. There's one reference, from 1597 London, which says, under the heading of Musk roses,
"Of these roses we haue another in our London gardens, which is most called the blush rose, it floureth when the Damaske Rose doth: [other Musks are stated to bloom in autumn] the floures hereof are very single, greater than the other Muske Roses, and of a white colour, dasht ouer with a light wash of carnation, which maketh that colour which wee call a blush colour: the proportion of the whole plant, as also the smell of the floures, are like the preceedent."[Single and double white Musks]

So we've got some spring-blooming Musk (hybrid?) with big single flowers.

Two hundred and thirteen years later, Champneys' neighbor John Fraser, brings to England a sibling plant to Champneys' Pink Cluster, but it's named a Musk, since there won't be a Noisette category for years to come.

"Between the time of 'Champneys' Pink Cluster' and 'Blush Noisette,' however, one Fraser -- also of Charleston -- had produced around 1810 a 'Fraser's Pink Musk,' usually classified with the Musks, but which appears to be a product of the same parentage as Champneys' rose." (Dickerson, The Old Rose Advisor, Vol 2, page 5)

(Champneys' Pink Cluster is also known as Champneys' Blush Cluster.)

Then along comes William Paul, who says (1872), under the heading of Musks, that there's a Blush or Fraser's which is pale red, semi-double and cupped. It sounds to me like he's lumping together the two sibling Noisettes, which (though confusingly expressed) makes complete sense. In The Old Rose Advisor, Vol 2, Dickerson cites old authors who also compare the two, and note that the Fraser's had become uncommon while the Champneys' had not.

Since I see no relationship to the (presumably extinct) rose of Shakespearean England, I'd like to suggest that the Fraser's Pink Musk be given its own entry, separate from The Blush Rose.