Nobody has notified an amendment to the 1901 entry and the actual image shows all birthplaces as Scotland.
If those 4 children were all b Liverpool - it makes the 1887 marriage far more likely.
If you know the names of either James or Annie's fathers then your best way is to either buy a copy of the cert or look it up at the records office for free
The 1911 entry supports an 1887 marriage