In addition to the statutory registers Janelle referred to, www.scotlandspeople.gov.uk also has many church registers of births, etc. going back a few centuries earlier. I find the following, with one spelling of Ingliss or another, in or about 1820. By registering and purchasing credits, you can view and save images of the original records ...
Hugh Ingles 6 Jul 1817 to William Ingles and Mary Smith in Abbey Parish
Hugh Inglis 2 Aug 1818 to Andrew Inglis and Elizabeth Dunlop in Kilmarnock Parish
Hugh Inglis 9 Sep 1820 to Robert Inglis and Mary Lock in Barony Parish; probably died in early childhood ...
Hugh Inglis 30 May 1827 to Robert Inglis and Mary Lock in Glasgow Parish; Barony Parish is in the City of Glasgow.
Hugh Cameron Ingles 25 Jun 1821 to John Ingles and Janet Reid in Kilsyth Parish
Hugh Inglis 24 Sep 1824 to James Inglis and Janet Curle in Kilmarnock Parish
Hugh Inglis 23 Oct 1826 to William Inglis and Jean Hutchison in Kilmarnock Parish; probably died ...
Hugh Ingles 10 May 1828 to William Ingles and Jean Hutchison in Kilmarnock ParishHugh Inglis 2 Jul 1831 to Alexander Inglis and Mary McDougall in Glasgow Parish
By following each of these people in the census, you might be able to determine which of the above might be your Colonel Hugh Ingliss.