A very specific question!
Logs and registry artifacts: Install/uninstall operations leave registry keys, scheduled tasks, and log files that help reconstruct lifecycle events. Typical registry locations include HKLM\Software\Brother and HKCU\Software\Brother, plus run keys. Brother Printer Driver Utility Brmainte.exe
Brmainte.exe is the core executable file for the Brother Maintenance Utility , a specialized tool used to manage, update, and troubleshoot Brother printer drivers and firmware. A very specific question