I must apologise for my previous message in which I said that the 32nd regiment had no formal links with Cornwall before the Army reforms of the late Victorian period. I have found the following on Wikipedia:
"On 21 August 1782, the Commander-in-Chief of the Forces, Henry Seymour Conway, issued a regulation giving an English county designation to each regiment of foot other than those with a royal title or highland regiments. The intention was to improve recruitment during the unpopular American War of Independence, and the Secretary at War, Thomas Townshend issued a circular letter to the lieutenants of each county in England in the following terms:
My Lord,
The very great deficiency of men in the regiments of infantry being so very detrimental to the public service, the king has thought proper to give the names of the different counties to the old corps, in hopes that, by the zeal and activity of the principal nobility and gentry in the several counties, some considerable assistance may be given towards recruiting these regiments". [8]
The names of the counties were added to the regimental titles in parentheses, ranging from the 3rd (Buffs – East Kent) Regiment of Foot to the 70th (Surrey) Regiment of Foot. In some cases more than one regiment was allocated to a county, for eample, the 38th (1st Staffordshire) Regiment of Foot and 64th (2nd Staffordshire) Regiment of Foot.[9] The attempt to link regimental areas to specific counties was found to be impractical, with regiments preferring to recruit from major centres of population.[10] By June 1783 each regiment was again recruiting throughout the country, although the county names were to remain.[11] In a few cases, affiliations were altered: for example the 14th and 16th Foot "exchanged" counties in 1809.[12]"
So there was a formal link to Cornwall but no recruitment limits
Jon