There's a wider issue here, if you can bear with me.
Barrow-in-Furness was presumably named to distinguish it from other places in Lancashire such as Barrowford, but now that it's in Cumbria that may not be necessary. One common way to distinguish between places of the same name in a county was to include a compass point. This is a different usage from when the places were closer together, such as the Tawtons in Devon or the Retfords in Notts (now merged into one town). But the Derehams in Norfolk are some way apart, and I was confused by East and West Farndon in Northants (the former right on the north-western county boundary near Harborough, so puzzling, but technically not as far west as the other one in the south).
This is a particular problem in Wales because so many old counties were merged (to form Powys and Gwynedd) or had their boundaries altered (particularly Denbighshire). Why this is a problem is that many very common names (such as Llanfair, Llanfihangel, Llanddewi, Llansantffraed, Llanbedr) occur more than once in a county so have to acquire a suffix. So it comes as a surprise to find an unadorned Llanfair and Llanbedr in Merioneth - but this is because they were the only such places in their county - however they are not such in their wider county of Gwynedd. This is another reason why I prefer to use the "old" county names that were used for centuries before 1974.