This Brunswicker soldier's name has been misspelled many times, in a publication I have from the Quebec Family History Society, publ. 1991 - Marriages 1766-1850 Christ Church Cathedral, Montreal, this marriage on 27 Aug 1785 is listed as MENEKY, John to Mary POULAN.
In the book by Virginia DeMarce he is listed as MENEKY, MONEKAY, MENEKAI, MONNEKE, Jean/John, marrying Mary Poulan/Poulin. No mentioning of the first name Frederick/Friedrich, while later on next page she has MONNECKE, Friedrich, Brunswick Regt. v.Rhetz, born Liebenbourg in Hildesheim, age 31 (age as of 1779).
She has also listed a Corporal Johann MANECKE of the Brunswick Grenadier Regt.(Battl.?), Capt. Bartling's Comp., born in Brockshausen (not identified)age 30 (as of 1779), and I am not sure if the one or the other (Johann or Frederick) married Mary.
To confuse the issue even more, there was also a MEINECKE, Hans, age 38/00, from Belzerode, and a MEINECKE, Johann, age 31/06 from Gummern, Saxony, members of the Brunswick troops, the last one discharged in Canada in 1783 as well.
At this point I have not mentioned the Frederick MEINECKE/ MINICKE who settled in Township #5 Bay of Quinte, who later was known as MINAKER. He was a Dragoon in the Brunswick troops. Was listed as John Frederick Moennecke in the Old UEL lists.
Truthfully, I have tried to untangle this confusing web of Canadian genealogy, but have found no perfect solution. In fact I think the truth is hidden in the various church records for marriages, like finding witnesses, and baptisms of children, and who acted as godparents. Good luck.
John Helmut Merz, researching Hessian soldiers of the American Revolution.