The Noble Qur'an - Al-Ahzab 33:59
O Prophet! Tell your wives and your daughters and the women of the believers to draw their cloaks (veils)* all over their bodies (i.e. screen themselves completely except the eyes or one eye to see the way). That will be better, that they should be known (as free respectable women) so as not to be annoyed. And Allah is Ever Oft-Forgiving, Most Merciful.
*the arabic word here is Jalabeeb (plural of Jalbaab), which is the loose outer garment that covers all a woman's body. It says here to use the Jalabeeb to cover all, and scholars say this means to use it to cover her head (agree upon by all scholars) and her face (agreed by many scholars, not all) and one or both eyes, in order for it to be known that she is a free woman and so not to be exposed to any harm.
Hadith - Bukhari 6:282
'Aisha(R.A.) used to say: "When (the Verse): 'They should draw their veils over their necks and bosoms,' was revealed, (the ladies) cut their waist sheets at the edges and covered their faces with the cut pieces."
Also you can read some information from here:
http://muttaqun.com/niqab.html
And, if you would like to talk to some sister who is fully veiled, I am here for you
in sh Allah =)