A few comments about Alexander, courtesy of ChatGPT4:
According to the Liber Pontificalis, Pope Alexander I was responsible for incorporating the narration of the Last Supper (the Qui pridie) into the Mass liturgy. Nevertheless, the 1907 Catholic Encyclopedia article on Saint Alexander I, authored by Thomas Shahan, disputes this tradition, a perspective that is endorsed by both Catholic and non-Catholic scholars[. This viewpoint suggests that the inclusion of this narrative in the Liber Pontificalis, which was likely written in the late 5th century, serves to advance the book’s agenda of portraying an ancient pattern of the earliest Roman bishops governing the church through papal decree.
Pope Alexander I is also credited with introducing the practices of utilizing blessed water mixed with salt for the purification of Christian homes from malevolent influences and blending water with sacramental wine. However, some sources cast doubt on these attributions. Despite these uncertainties, it remains plausible that Alexander played a significant role in the nascent development of the Church of Rome’s liturgical and administrative traditions.
A subsequent tradition asserts that during Emperor Hadrian’s reign, Alexander I miraculously converted the Roman governor Hermes, along with his entire household of 1,500 individuals. Quirinus of Neuss, who is believed to have been Alexander’s jailer, and Quirinus’ daughter, Balbina of Rome, were also among his converts.
It has been reported that Alexander experienced a vision of the infant Jesus. Moreover, his remains were allegedly transferred to Freising, Bavaria, Germany, in AD 834.