Sort Merged

I'm looking for any help in sorting a range of merged cells.

Yes I know merged cells are horrible to use, but they were needed for my layout.

I just need the code to click the button in the attached workbook which will sort the range I specified in the sub Sort_Time from earliest to latest, while keeping the row information intact (Info A, A.1, A.2, A.3 and the time 01:00 will need to stay on the same line, and the same for the rest of the Info lines).

Is this possible?

Thank you so much for your consideration.