Were there any Cornish monasteries

Answer 1

Yes, for a complete list with details including the founding date and the ending date (many, many houses were dissolved completely by the crown during Henry VIII's rampage where he stole all the Church's land, buildings, and goods, see the link below.

Bodmin - Abbey of St Mary & St Petroc* Augustinian Cannons Regular (Canons Bodmin Blackfriars probable mistaken reference to Bodmin Greyfriars[note 2]

Bodmin Greyfriars # Franciscan Friars Minor, Conventual (under the Custody of Bristol)

Bodmin Priory + Celtic monks

Augustinian Canons Regular

Bodmin Abbey [5]

Breage Grange Cistercian monks

Cardinham Grange # purported medieval monastery [6]

Constantyne Monastery Celtic monks[note 3]

Crantock Monastery Celtic monks

St Karentoc's Monastery [7]

Dingerein Monastery Celtic monks[note 4] Dinurrin Monastery

Gulval Monastery Celtic monks[note 5]

Kea Monastery, Old Kea Celtic monks[note 6]

Old Kea Monastery [8]

Lammana Priory, Looe Island St Michael chapel, Lammana - geograph.org.uk - 1106426.jpg Lammana Chapel [9]

Lansallos Monastery Celtic monks[note 7]

Lannachebran Cell, St Keverne monks

St Keverne's Monastery;

Lanachebran Monastery [10]

Launcells Priory Celtic monks[note 9]

Launceston Friary(?) Friars[note 10]

Launceston Priory, earlier site monks or secular

Launceston Priory + Augustinian Canons Regular

Lanwethinoc Monastery~, Padstow Celtic monks

Padstow Monastery [12]

Madron Monastery Celtic monks

Manaccan Monastery Celtic monks [14]

Mawgan in Pydar Franciscan Monastery * Franciscan monks The Franciscan Monastery of St Joseph and St Anne, St Mawgan in Pydar [15]

Minster Priory + Celtic monks?

St Mertherian

Talcarne Priory;

Paul Grange Cistercian monks

Probus Monastery Celtic monks or secular

Rialton Grange # Augustinian Canons Regular

St Anthony's Monastery, St Anthony-in-Meneage Celtic monks[note 11]

St Anthony-in-Roseland Priory ^ Augustinian Canons Regular

Anthony-in-Roseland Cell [21]

St Buryan's Monastery, St Buryan Celtic monks

St Carrok's Monastery #, St Winnow Celtic monks[note 12]

St Syriac's Monastery;

St Cyricus and St Julitta's Monastery;

St Cadix's Monastery;

St Syriac's Cell

St German's Priory + St Germans Church 1.jpg Celtic monks

Augustinian Canons Regular

St Goran's Monastery, St Goran Celtic monks[note 13]

St Kew Cell ~ monks[note 14]

Augustinian Secular Canons - from Plympton, Devon

St Matthew's Monastery uncertain order and foundation

St Mawgan Monastery + Celtic monks[note 15]

Carmelite convent possibly built on site 16th century Lanherne Monastery;

St Mawgan in Pydar Monastery [25]

St Michael's Mount Priory + England-Saint-Michaels-Mount-1900-1.jpg Saxon Benedictine? St Neot's Monastery, St Neot Celtic monks[note 16]

St Piran's Monastery, Perranzabuloe Celtic monks

Saltash Monastery uncertain order and foundation

Scilly Priory Celtic monks, monastic cells

Tresco Abbey Gardens created by Augustus Smith around the priory remains in 1834 The Priory Church of St Nicholas, Scilly

Sclerder Abbey + Dames de la Retraite

Franciscan Recollects

Carmelite

Sisters of the Sacred Hearts of Jesus and Mary

Minoresses - from Rennes 1914-1920;

Minoresses - from Bullingham 1922-1981;

Carmelite - from Quidenham 1981; extant [30][31][32]

Sele Priory Benedictine monks

Temple property + Knights Templar

Knights Hospitaller

Temple Templars Preceptory # Knights Templar

Tintagel Monastery remains interpreted as Celtic monastic

Trebeigh Preceptory # Knights Templar (purportedly);

Knights Hospitaller

Turleigh Preceptory [37]

Tregonan Cell, St Ewe Celtic monks[note 19]

Tregonan Grange Cistercian monks grange of Beaulieu, Hampshire

Tregony Priory ~ Augustinian Canons Regular

Tregoney Priory [40]

Truro - Convent of the Epiphany ^ Community of the Epiphany, Anglican Truro Blackfriars Dominican Friars (under the Visitation of London)

Tywardreath Priory Benedictine monks

Truwardraith Priory [43][44]