Assuming here the boring head has been changed on the same machine/workpiece setting?
Changed head height on a round column machine? Relying on a drilled hole to be straight?
If not, you could try removing the boring head and installing it at 180 degrees in the machine and look for a different result. Possibly there is something (foreign body or a burr) inside your spindle that needs cleaning out?
Possible tramming error and one side is off centre when drilled?
If I want to drill something true, I use an end mill, not a drill.
Several possibilities so, yes, a pic and detailed method of working is likely required to see what is wrong.