I seem to remember seeing a couple walk out of the hotel with a labrador, but they may have just been in to ask... However, here is a review another traveller left on tripadvisor on 4 September 2017. I am not allowed to post a link on here, but if you google 'travelodge glossop dog' then you should be able to find it. For me it comes up as the first choice...
Other than that I would suggest you contact the hotel directly: 0871 984 6330
I hope the above helps and good luck,
We still have the same WiFi provider. Some people do report issues to us, others don't seem to have any problems. Assistance dogs are and have always been free of charge. If you book an accessible room, they are much bigger. If you want the bed to be a double in this room type, please call the hotel directly after you have made a booking on 0203 1954 993. Hope this helps