Researching around, I think, and following the research down byways. For instance, you knew "Gothic" so if you'd looked up "Gothic architecture" in Wikipedia, that would (eventually) tell you about the ogival arch; going along to ogive would give you lancet arch, which (at the bottom) gives you lancet window. "Window" in Wikipedia gives a list which includes oriel, go to that and it has a picture of Bradford Town Hall, and if you click on that you can get to a site with a full architectural description. That description is pretty indigestible as written (http://www.imagesofengland.org.uk/Details/Default.aspx?id=337245&mode=quick) but copy and paste it and put some spacing in to make it easier to read and it will pay dividends. There are plenty of sites with architectural definitions so you can find out exactly what it's warbling on about, and you, too, can talk of tracery and spandrels and shafted windows... (Not that kind of shafted... )How would I have found out, for example, they were 'oriel' windows though? I wouldn't have even known where to look to get the answer (apart from ask you smartarses here!).
Although most of what you read won't be relevant, the odd thing might just spark something which will be of help. (And remember to keep notes and where you found stuff -- the hours I've wasted trying to find something again because I forgot to make a flaming note at the time.)