William's background on the Isle of Man

One researcher, Fred Cowin has a microfilm that indicates that Mwyllin Squeen might have been used by John Corlett (miller) in 1709.
The parish burial registers show families with the surname Corlet(t) having died at Brooghjiarg in the mid 1700’s 
The earliest registered has no Christian name but a Corlett (of)   Broughjarge was buried on 15/09/1646      --
and the latest I can find is  CORLET  Thomas  ( of Brooghjiarg ) who was buried 14/09/1817      --

Another historian has supplied the following information. A full transcript can be seen at   (http://www.grimshaworigin.org/IsleOfMan.htm)

"Mwyllin Squeen, one of the two water mills in Ballaugh, the other being Scrondal, in the Glen, older than the Squeen, mentioned in the Manorial Roll of 1513, serving the quarterland. These mills were called by the generic name 'corn' mills which covered many kinds of grain - wheat, barley, oats, rye and 'pearl,' barley. Mwyllin Squeen served the crofters round about, according to David Craine in his Mannanan’s Isle. This is now derelict and overgrown, but a detailed reconstruction of its plan by Dr. L.S. Garrad in 1967 gave its date as being built in 1736. The property now belongs to the Craine family whose father, Charles Cowell Craine, son of John Robert of Brough Jiarg, Captain of the Village, acquired it from Johnny the Cregg, (Johnny Quayle) and later, in 1964, bought it from the family estate
 It was then the Corn Mill which served the crofters round about who took their grain there to be milled.

Owners or occupiers before the Craines were a Corlett, then a Fayle, and then another Corlett, a butcher with a shop in Ballaugh, who used a small building attached to the mill as a slaughter-house, now a stable. He lived in Mwyllin Squeen from about 1900 to 1914 when he moved to Ballacrye. Next to the 'slaughterhouse' is another smaller extension used, it is said, as a washhouse. Propped up against its wall there is one of the millstones, and another is outside Cronk Breck front door, used as a garden table. On the north side of the 'street' a modern garage has been built on to part of the old threshing mill. The farmhouse itself is still unaltered except for a large modern extension built on to the back. 
In the ground round the house now (1996) temporarily overgrown with weeds, there is evidence of a real gardener's garden, once cared for lovingly and with knowledge by Janet, Charles' wife. Every year an orchard of some 30 fruit trees still crops generously supplying friends and family with apples, pears, plums and cherries.  The farmland round about must have been very extensive and included what is now a small modern 'estate' called Faaie Craine, after Charles Craine, who died in 1979.
Since the Ballaugh river dries up in the summer months in its lower reaches, Mwyllin Squeen must have been a part-time mill, only working to grind the corn newly harvested when the autumn rains created a flow of water enough to drive the water wheel. Scrondal Mill, serving the whole quarterland, has a flow of water all through the year. Probably in the past the river disappeared underground at or near the present War Memorial, as it does today (1996). The reason for this, no doubt, is that it is there that the subsoil becomes typically sandy and gravelly and able to absorb the water. Geologists could confirm this theory."

In 2008 a member of the Craine family living on the isle clarified the recent ownership "Squeen and Broughjairg were both owned by John Robert Craine and passed to his wife, Madge, after his early death in 1913. The farms were rented out and passed to John Douglas (Douggie) Craine, the eldest son, when Madge died in 1951. Doug continued to rent them out. They passed to his wife,Wyn,on his death in 1958. In 1960 Broughjairg was sold. In 1964 Squeen was sold to Doug's younger brother,Charles Craine, Captain of the Parish (NOT village)"
There is still a member of the Craine family living at Squeen Mill in 2008.