It can be either a master's of arts in liberal studies, or a master's of arts in library science.

Courses one must take to be considered a master of general studies are Bachelor - Liberal Arts and Bachelor - History.

So many schools offer master's in liberal arts. Wellesley is a very well-ranked liberal arts school (for just women however). Most schools that offer a liberal arts in general will have programs for master's such as Harvard http://www.extension.harvard.edu/degrees-certificates/master-liberal-arts, UChicago https://grahamschool.uchicago.edu/php/mla/, and Stanford.

Yes, there are colleges and universities that offer doctoraal degrees particular to Liberal Arts and Sciences, General Studies and Humanities: General instructional programs and independent or individualized studies in the liberal arts subjects, the humanities disciplines and the general curriculum.

The potency difference of a liberal arts degree and a general studies degree is that the liberal arts degree covers the subjects or skills that were considered essential for a free person to know so as to take an active part in the civic life while General Studies Degree covers the basics of the university education.