Some downloadable pdfs that may be of interest from
Cheshire Local History Association
The Cheshire Historian years 1951 to 1960

click

There are some very interesting old articles in those magazines - thanks for sharing the link!

The downloadable pdfs of the Cheshire Historian magazine contain an article which seems to describe the brook in question in this old thread ...

https://www.wikiwirral.co.uk/forums/ubbthreads.php/topics/1071638/1.html

It is in Volume 7, 1957 and entitled The Changing Scene in the Township of Higher Bebington, Wirral, by Graham F A Wilmot. Here's a screen shot ...

Only just realized that there are a lot more pdfs that can be downloaded on this site if you go to " Past Publications information page ".Problem having the time to read them