Monks & priests have been wearing hoods for centuries by the 12th C. Juust a few examples here - these are not rare in the pictorial record.
GKS 182 2°: Vita Anselmi. Vita Malachiae. Sermo
France, c. 1200
Fol 1v. a monk writing at his desk representing the author of the vita, Eadmer
- A hooded tunic
- The hood comes to a V point in front of the neck
Vatican Bibl. Apost Vat, Ms Lat 4922, Vita Mathildis
Folio 49 German emperor kneeling before Countess Matilda (her confessor watches) around 1114
- Another hooded tunic
- The hood points straight up
- A seam is visible vertical above the forehead.
- A better picture (in colour) here.
Bibliothèque Nationale de France, Paris MS lat1 (Vivian Bible) Tours 845/6
Fol 423 presentation of the bible to Charles the Bald
- This is a 9th C piece just to display how long the clergy had been using hoods. I chose it over conventional ones of hooded tunics because these clerical chapes/copes look quite like the mundane ones.
Life of St Amand
France, Middle 12th Century
- A long cloak worn over a priest's ceremonial clothing
- The cloak appears to have corners at the bottom edges
- The cloak is fastened at the neck with a broach, or at least appears to be
- The hood is pointy
St Angelo in Formis, miniatures from the Register
12th C Italian
- A hooded tunic and hooded cloak in the same picture
- both hoods are pointy
Bibliothèque nationale de France, Département des Manuscripts, Division occidentale Latin 16745 (bible des capucins )
c1170-1180 champagne France
Fol3 Anne priant
- a man in a hooded chape. head section doesn't appear to be at all pointy.
British Library MS Cotton Nero C. IV (Winchester Psalter)
Winchester [Priory of St Swithun or Hyde Abbey], England; between 1121 and 1161
Folio 18v First temptation of Christ
- A hood with shoulder length cape
GKS 181 2°: Vita Bernhardi. Miracula. Radbertus
France, c. 1200
Fol 1v,Doodle, part of a historated letter
- This only shows the nead covering and not what it does at the bottom of the neck due to the nature of the picture
- the length of the liripipe and curl at the end of it are probably exaggerated too
Wall Painting, Anagni, Cathedral Crypt c1255
Elijah on the Chariot of Fire (holding a cloak)
- This could be a strange hold on a unhooded mantle, but there appears to be a clearly cut hood here
- note the different coloured at the edge - a lining?
Berlin Print Room, MS 16
Fol 9v John preaching and Baptising, A knight watches
- might not be hooded, but rucking at neck suggests this