Now, I don't have much experience with cranes. If it was my building do design I would not attach the crane girder to column A-2. This is because the deflection of the beam along line B will be at the greatest at B-2 when the crane is at line 2. This will rack the bridge crane and causing premature wear of the wheels and future maintenance problems. When ever I have run into something similar, I have skipped the column attachment and made the beams the same size for this reason. At least this is how I was taught to handle the problem.
It also appears from your description, that column A-2 is the cantilever column. Again, in my opinion, this is just another reason to "skip" this column all together. If that is not possible, I would probably design the column as a A frame installing another footing to the north of line A and not rely on the column cantilevering up from the footing. Just something I would not be comfortable with.
Just my $0.02