Yeah, to follow up. Why does Sea Bank need to be in the name? Is it the name of the town or have some relevance to the plot.
To just throw some out there, maybe just plain old "Sea Bank Sanatorium" could work?
If not, then you could go the way of certain hospitals and have it named after a saint? St. Michaels, St. Judes etc.
Alternatively, you can google other sanatoriums that existed and use their name as a basis, maybe mash two together and see what you get?
Like Coryn said though, you're really in the best position to christen it with a name as you're the author. You know what kind of feeling you wish to conjure when the reader sees that name. What questions and images you wish it to conjure when they see those words on the page. Is is named after the shady family who owned and operated it? The location etc.
Hope that helps, if you're truly stuck then it may be worth dropping a bit of a description of the place and maybe we can assist you further?