A complement to reply #3, here are contemporary newspaper accounts of their movements. Same uncertainty about individual units applies, but the sequence of events matches well with the births.
Added: according to the pension record at Fold 3 he was discharged at the end of July 1815, so these records don’t help with the births in Yorkshire. Oh well…
The four troops of the 6th dragoon guards, lately quartered at Newcastle, are on their march to Edinburgh.
Caledonian Mercury 14th May 1810
Tuesday morning, four troops of the 6th dragoon guards marched for Hamilton barracks. – They had for some time been stationed in Glasgow where their behaviour was such as became the character of good soldiers.
Perthshire Courier 1st April 1813
Newry, April 9. Three troops of the 6th Dragoon Guards have been landed at Donaghadee from Portpatrick,and passed through this town on their way to Dundalk. They have more of the soldierly and warlike appearance than any we have seen here since the Cambridge Light Dragoons. Their horses seem to be well chosen for the service, and the men and accoutrements conformable; they wear the old Roman helmet, which has a daring and military appearance, and the construction of which surpasses all the modern helmets, for ancient elegance and modern safety.
Saunders's News-letter 23rd April 1813
The 6th Dragoon Guards (or Enniskillens) have arrived at Liverpool from Dublin, about 300 strong.
Star (London) 26th May 1814
The following are the regiments quartered in Ireland:– [list includes] 6th dragoon guards
Caledonian Mercury 14th January 1815
The 6th Dragoon Guards has replaced the 9th in the garrison of Dublin.
Morning Herald (London) 12th May 1815
The 2nd and 6th Dragoon Guards, and the 3rd Dragoons, are ordered to Belgium.
Cheltenham Chronicle 27th July 1815
The 6th Dragoon Guards are ordered from Ireland to North Britain
Sun (London) 3rd August 1815
6th Dragoon Guards, in Scotland, notwithstanding their being in daily expectation of a route for York will, we have reason to believe, remain in the quarters they now occupy at Piershill and Hamilton Cavalry Barracks, at least for some time to come.
Military Register 10th April 1816
Saturday week a party of excise officers, aided by a detachment of the 6th dragoon guards, destroyed a most extensive private distillery carried on in a wood in the neighbourhood of Glasgow; so large was the work, that coolers were used for cooling the worts, and the mash tun equal to that of an ordinary common brewer. A considerable quantity of spirits were on hand the preceding evening, but had been removed before the officers got forward.
Saint James's Chronicle 11th July 1816
Thursday and Friday last four troops of the 6th Dragoon Guards (Carabineers) marched from Piershill Barracks, on their route for York, by Berwick, &c. The Scotch Greys, who are to replace them at Piershill Barracks, passed through London yesterday morning, on their way from Canterbury for that destination.
Morning Herald (London) 3rd July 1817[/list]