Was not Vocal Music used before the invention of Instrumental?

Vocal music, namely, that produced by the human voice, (so called to distinguish it from instrumental, that produced by instruments,) was undoubtedly the first: for man had not only the various tones of his own voice to make his observations on, before any art or instrument was found out; but the various natural strains of birds to give him a lesson in improving it, and in modulating the sounds of which it is capable.

Modulating, forming sound to a certain key.

To what circumstance did an ancient poet ascribe the invention of stringed instruments?

To the observation of the winds whistling in the hollow reeds. As for other kinds of instruments, there were so many occasions for cords or strings, that men were not long in observing their various sounds, which might give rise to stringed instruments. Those of concussion, as drums and cymbals, might result from the observation of the naturally hollow noise made by concave bodies when struck.

What are the most ancient stringed instruments?

The most ancient instruments of this kind, whose form is known, are those of the ancient Egyptians; among these the harp stands pre-eminent. One of the most celebrated representations of an Egyptian harp was drawn from a painting discovered in one of the caverns in the mountains of Egyptian Thebes, by some travellers: it is called the Theban harp, and has thirteen strings; its form is extremely elegant. This harp is supposed to be one of the kind in use before and at the time of Sesostris. Remains of Egyptian harps of a more simple construction, with only four strings, have likewise been discovered. Among the monuments of ancient Rome, there are representations of stringed instruments resembling the harp, but not equal in beauty of form to the famous Egyptian harp already mentioned.

Pre-eminent, surpassing others.

Who was Sesostris?

A King of Egypt, who is said to have reigned some ages before the siege of Troy. He appears to have been celebrated for his conquests, and for the number of edifices he erected to perpetuate his fame.