You can access a document at Scotland's People
scotlandspeople.gov.uk which gives more details (it will cost a few credits).
Pertinent details are that
John Bolton was a commercial traveller, residing at No. 4 Junction Street
Jane Blanchard, residing at No. 17 Smith's Place, Leith Walk was daughter of John Blanchard, farmer near York
It doesn't state that John Blanchard was present.
A newspaper item:
Perthshire Courier, 21st May, 1846
At Edinburgh, on the 14th instant, Mr John Bolton, York, to Jane, youngest daughter of Mr John Blanshard, Escrick, Yorkshire,