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I think the term "gamekeeper" might have changed over time.  The modern understanding is a someone employed by an estate to manage the game.  A steward of sorts. 
In 1731 the Dorset Quarter Sessions Book shows that my ggggg grandfather was appointed by Sir Robert Long Bt to be his gamekeeper for the Manors of Burleston & Southover.  These two manors were adjacent to Tolpuddle in Dorset where my ancestor was the Vicar.

For those of Irish Ancestry, the National Library of Ireland have a number of their Volumes of Grants & Confirmations of Arms available online.  I have listed them here:

https://heraldryonline.wordpress.com/2022/06/19/irish-grants-confirmations-of-arms-1630-2009/

Just in case this is of any use to anyone else:


http://heraldry-online.org.uk/harleian.html

If the Heraldry Society &/or John Tunesi are having problems, it probably only leaves the College of Arms.  You can raise a query on the College's website and it will be looked at by the duty Officer of Arms.  I don't think you can send an image via the webpage.  There may be a fee involved if it is a complex search.

https://www.college-of-arms.gov.uk/contact-us

There do not seem to be any entries in An Ordinary of Arms Contained in the Public Register of all Arms and Bearings in Scotland which covers the period from around 1672 to 1901.  This evening, if time permits, I will look in my copies of An Ordinary of Scottish Arms pre-1672  and Volume 2 An Ordinary of Arms Contained in the Public Register of all Arms and Bearings in Scotland which goes to 1973.

The pre-1672 Ordinary has 6 entries from 5 different ancient heraldic rolls but without any biographical or geographical details except that for Pettigrew of Pettigrew "Gules 3 mullets and between them a crescent Argent".  Pettigrew of Pettigrew (or of that Ilk) would be the Chief/Head of the Name & Arms of Pettigrew.