No need for a coat scrump, that's right.
To be worth doing though, you would need to put some effort into finding the centre of the Republic of Ireland with reasonable precision, and I'm feeling lazy.

The actual difference in weight between different parts of the British Isles maxes out at about 50 milligals, ie about one two-thousands (1/2000) of the standard field strength you're feeling right now. It's not quite weight, but it's close enogh unless you are actually taking this seriously. So, we can use the OS centre.

BTW, it really is the moutains that are lighter!