Hi Irene
I've been to Woodhorn today and got the 1866 maps of the Berrington and surrounding area to have a look at. I surveyed the whole area including Haggerston and can find no reference to an RC church. There is nothing at Berrington or within Haggerston grounds to suggest a chapel. There are plenty of C of E, Presbyterian and even Primitive Methodist churches/chapels but nothing specific to Roman Catholicism. I took a note of said churches if you are interested.
HG Dobson in his book 'From Blyth to Berwick and back' describes the Haggerstons as 'staunch Roman Catholics ... like other notable Catholic Northumbrian families, not only held onto their wealth and property ... (but) were actually able to increase their estates'.
I hope this is of help.
Yours J.A