I've just been reading Scotlands People website - Index for births (
https://www.scotlandspeople.gov.uk/). This is similar to information you have already received but you can pay to access an actual copy of the register for births.
Surname Forename Parents/ Other Details Age Date Parish Number Ref Parish
CHRISTIE JANET JOHN CHRISTIE/JANET STEWART FR687 (FR687) 0 19/05/1816 361/ 30 190 Killin
CHRISTIE JANET JOHN CHRISTIE/JANET STEWART 0 29/05/1816 361/ 20 336 Killin
CHRISTIE MALCOM JOHN CHRISTIE/JANET STEWART FR2518 (FR2518) 0 30/01/1819 644/1 220 141 Glasgow
CHRISTIE WILLIAM JOHN CHRISTIE/JANET STEWART FR3693 (FR3693) 0 04/05/1822 644/1 310 69 Glasgow
CHRISTIE JOHN JOHN CHRISTIE/JANET STEWART FR3821 (FR3821) 0 30/11/1823 644/1 310 315 Glasgow
CHRISTIE CATHERINE JOHN CHRISTIE/JANET STEWART FR4028 (FR4028) 0 04/06/1826 644/1 320 149 Glasgow
CHRISTIE WILLIAM JOHN CHRISTIE/JANET STEWART FR4301 (FR4301) 0 30/03/1830 644/1 320 666 Glasgow
There is also multiple deaths for John and Janet Christie - but no guarantee that you will find the correct person even if they are listed. However it really is a great resource when accessing information from Australia if you think you know who you might be looking for. Sorry if you know about this already.