Yes there was quite a Manx community in Toxteth Park and also West Derby (and probably other areas of Lpl) from the mid 1800s and before that I am aware of.
Most Manx families are represented in these areas to some degree. Many Manx too went to the Manchester area. I am sure that Frances would have much knowledge of the Manx demographic movements to Lancs and where they congregated in large numbers.
Elizabeth