I think it's one word. There's the item Tigereye Peak House and on the page where you can move villages it has it as one word too.
Well in the Costume Museum they're both one word. Also on my town hall page it says Dragonsmaw.
It looks like it's just the logos that spell it out that way.
Yeah it could be that it's not supposed to be spaced. Not sure which is more "Official", I'd tend to go with the logo but I'd really like to hear from a developer on the matter. Anyone know how to get in touch with one? People seem to have settled for "Dragon's Maw Manor" so I wouldn't want to use the spaced for one and no space for the other
The twitter account seems to be very active in answering questions. Personally I'd go with the logos.
On the Furvilla tumblr page when you search "Tiger Eye Peak" One post comes up. When you search "Tigereye Peak" nine posts come up with that spelling. I also haven't really seen any examples of "Tiger Eye Peak" being in the actual game. (If it does appear somewhere let me know). I think whenever it's spelled "Tiger Eye Peak" it's just a simple mistake. But the best course of actions would be to ask them on twitter, otherwise this will probably never be settled. :P
The main place it shows it with spaces is the icon for the town itself, which is kind of hard to ignore. It could be a case of the artist and the developer not agreeing on the spelling? xD
What do you think?