Atti: Istituto veneto di scienze, lettere ed arti (1913) p. 1104
274. R. Modoetia Hort. var. flore pleno Hort. - It. Rosa di Monza; sommità fiorita. II, 145.

Hortus Ripulensis seu enumeratio plantarum quæ Ripulis coluntur (1824) p. 122
By Luigi Colla
25. Semperfloren
ead: Modoedtiae ... H: Modoetiae

Catalogus plantarum regii horti botanici Taurinensis: Joannes Biroli. p. 66 (1815)
Rosa modoetiae (1)

Modoetia is the Latin name for Monza. Thus, the 1824 note "H. Modoetiae" would be the Hortus Modoetienis (Monza).

The Rosa modoetiae is not mentioned in the Catalogus plantarum existentium in hortus regiae villae prope Modoetiam (1813/14).

The 1818 Italian Reference (Flora Italiana) reports of a Bengal rose bred in Florence and shows its picture. This, in my opinion, supports the idea that Bengal de Florence and Bella di Monza were two different roses.

The pictured rose is not 'Belle de Monza' ('Bella di Monza'). Whether it is 'Serratipetala' or not is another matter. It is inconceivable that the early descriptions of the rose would fail to mention its fimbriate petals, the feature that immediately strikes anyone looking at your photograph.
Annalen der Blumisterei 1829, pp. 91-92 contains a detailed description of 'Die Schoene von Monza' (without referring to any fimbriation, of course).

American Flower-garden Directory (1832)
Hibbert & Buist (Philadelphia, Pa.)

No. 9. Rosa Florence, or Scarlet-tea. This rose partakes of the fragrance of No. 9 [Rosa odorata, or Tea-rose], is perfectly hardy, grows freely, and flowers profusely. The flower is well formed, very double, and a distinct variety from any that we know. The flower is lightest when first expanded.

No. 14. Rosa belle de monza. The flower of this rose is flatter than any of the other sorts; the petals are regularly laid over each other, making it very compact; it is about four inches in diameter when well grown; the plant is of quick growth, free in flowering, darker in colour than No. 1 [Rosa indica, common China or daily], equally hardy, and ought to have a situation in every garden where roses are grown.