Hi there,
That Bio link for Richard Bourke that I posted earlier gives some family history info :
Richard Bourke was born 4 May 1777 in Dublin. His parents were John Bourke of Drumsally, County Limerick and Anne Ryan a daughter of Edmund Ryan of Boscable, County Tipperary .
Richard Bourke married Elizabeth Bourke in 1800. Her father was also named John Bourke, and Elizabeth was his youngest daughter.
So, re Mrs M Hunt the likely niece for Gov. Bourke .... to be his niece she was most likely a daughter either of Richard’s or of Elizabeth’s siblings, and thus perhaps you may need to find her likely parents. Hopefully she was nee Bourke, but if either Richard or Elizabeth had sisters then perhaps there would be a different nee surname.
Anyway, from the image of that 1800 marriage for your lass’ possible uncle and aunt ... I read :
Richard Bourke Esq of the parish of Ellingham in the county of Surry and Elizabeth Jane Bourke of this Parish (JM notes this as St Margaret Lothbury in the City of London), were married by Licence twenty-sixth day of March 1800 by the Rev’d John W Bourke.
The witnesses signed, but I am having trouble deciphering those signatures.... I think the first witness was surnamed Bourke, but cannot figure out the initials, and I think the second witness was Robert Hugh but cannot figure out the surname. I will attach a snip, in case the surnames indicate family members for either the bride or groom and thus point towards the family surname for Sir Richard’s niece.
Cheers, JM