Thank you, emeltom, and I agree (and did that frst), but none of the several links to Strangeways mentions the County Gaol, Cheetham, even though other gaols, such as Salford County Jail and New Bailey Gaol, are mentioned.
Strangeways, as I wrote above, opened in 1868 and my grandmother was born in 1870 and the birth certificate specifies "County Gaol, Cheetham". Strangeways was named "Strangeways" (named for Stangeways Park), from the date of its opening so why would the Registrar name it "County Gaol, Cheetham"? Unless I can find at least one primary source proving that Strangeways was also known as County Court, Cheetham, I cannot accept that they are one & the same gaol.
Thank you, heywood, and I had already found that too but again it mentions other gaols connected to Strangeway but not the County Gaol, Cheetham. Having said that, the image I have of Elizabeth BERRY's commital to County Gaol, Cheetham, does mention the Bolton, Salford & Manchester Assizes but those assizes sent offenders to other prisons too.
If my grandmother was in Strangeways two years after it had opened I find it hard to believe that the Registrar of Births entered the prison through those impressive gates with the name clearly visible and called it County Gaol, Cheetham. That, in a nutshell is why I asked the question!
And I really am very grateful to you both for looking at this for me.
Malcolm