Certainly not with the Alphabet for reasons of expediency & impracticability, as well as from the obvious sense of the Legislature, who, in the same act make other provision for the primary instruction of poor children, expecting doubtless that, in other cases, it would be provided by, the parent, or become perhaps a subject of future, and further attention for the legislature.
This sentence shows that the men who wrote the document expected a certain level of education of those who enrolled, and left how that basic level was met to the families of students as well as the government. They expected the government to take charge of educating the poor.