According to English grammar, when library is a very specific building capitalize the full name of the library. Therefore, I know that when I am referring to Morgan State University Library or Coppin State University Library I capitalize the full name of the library with 'Library' capitalized.
But what if I am referring to branches of the Baltimore County Public Library like Pikesville library or Woodlawn library—do I capitalize 'library' as part of the proper noun or is 'library' a common noun? I am having difficulty knowing if 'library' is part the proper noun or not. If library is part of the proper noun, I capitalize it. If it is not, then I would lowercase 'library'. How can I tell if all the words are part of a specific building or is a part of the name or not with any set of words?