You can buy all Scottish Certificates at http://www.scotlandspeople.gov.uk
You can register on the site for free, and do searches where you can keep narrowing the search period down to determine the year you want. To see the results of the search you need to pay (1 credit per page with a maximum of 25 entries per page), then when you have found the correct entry, it will costs 5 credits to view/download the entry.
There were NO marriage entries for "Andrew McLEAN" to "Agnes RODGERS" but there was an entry in 1932 for "Andrew McLEAN" to "Agnes ROGERS";I then narrowed it down further to (under County/City/Minor Records) Edinburgh City in the district of East Calder.
Scottish marriage certificates will give their names, age, address, occupation, both parents names & mother's maiden surname.
A search of all "Agnes ROGERS" born in 1911 only found 2 entries. You would need to obtain the marriage certificate first to locate the correct parents' names, however the births index does not record the parents' names, so you would need to view the entries to find the correct one.
A search of all "Andrew McLEAN" born in 1906 & 1907 produced 19 results.
The fees are very reasonable - 30 credits for £7 - which if you are very lucky will let you view 5 pages of search results & download 5 certificates !