Finally was able to get access to the Historical Records on ScotlandsPlaces. No easy way to search, so a long and tedious process having to look through each page...however, I did find Robert in 1785 on the Cart Tax rolls.
He farmed at Carbrock or Carbrook farm but haven't been able to come up with anything else to connect him to this location.
What is known:
Robert Hogg, married, from Dunipace, is a farmer & horse dealer
1785 Cart duty - Carbrock, Dunipace [might be Carbrook*] 2 carts with 2 wheels, 2/- duty, half years Duty - 2 shillings
1791 received £1 16s 6d for growing flax. (Thanks to GR2)
1793 Young Peter Hogg born in Larbert to Janet Finlayson, daughter of James Finlayson, quarrier.
1797, August 12th, 3 horses - paid 4/- tax duty on 2 horses (the other one for personal use)
*If it is Carbrook Farm then James Dickson, an Oil Merchant + Farm Manager worked at the farm for 30 years from around 1860 onwards - he appears on the 1861 census. (There is a photo of the farmhouse here
http://www.geocities.ws/scotlandsmahame/dickson3rdgeneration.html)
Prior to that in 1851, a James McSuckie (probably McLuckie?) lived and worked at Carbrook - the address on Ancestry only says Carbrook but possibly same farm. Not seeing anything for 1841 census for McSuckie or McLuckie or Carbrook/Carbrock.
1841: Not finding Carbrook, Robert Hog, or McLuckie
1851: Carbrook, Dunipace, Stirlingshire
James Mc Suckie [McLuckie] 67, head, (Landed Proprietor Farms 72 Acres)
Robert Mc Suckie 22, son, Writer Work Signet ?
Jean Fisher 30, servant,
1861: Carbrook Lodge, Dunipace, Stirlingshire
James Dickson 35, head, Carter Domestic Servt
Janet Dickson 27, wife, Lodger Keeper
Eliza Dickson 6, scholar
David Dickson 5, scholar
Margaret Dickson 3
Jane B A Dickson 8 Mo [first to be born in Dunipace]
See this map for Carbrook House, with the lodge a little further down - might have been the farmhouse.
http://maps.nls.uk/view/74430873