/usr/share/perl5/Monitoring/ is in libmonitoring-livestatus-class-perl 0.06-1.
This file is owned by root:root, with mode 0o755.
..
/usr/share/perl5/Monitoring/Livestatus/
/usr/share/perl5/Monitoring/Livestatus/Class/
/usr/share/perl5/Monitoring/Livestatus/Class.pm
/usr/share/perl5/Monitoring/Livestatus/Class/Abstract/
/usr/share/perl5/Monitoring/Livestatus/Class/Abstract/Filter.pm
/usr/share/perl5/Monitoring/Livestatus/Class/Abstract/Stats.pm
/usr/share/perl5/Monitoring/Livestatus/Class/Base/
/usr/share/perl5/Monitoring/Livestatus/Class/Base/Abstract.pm
/usr/share/perl5/Monitoring/Livestatus/Class/Base/Table.pm
/usr/share/perl5/Monitoring/Livestatus/Class/Table/
/usr/share/perl5/Monitoring/Livestatus/Class/Table/Columns.pm
/usr/share/perl5/Monitoring/Livestatus/Class/Table/Commands.pm
/usr/share/perl5/Monitoring/Livestatus/Class/Table/Comments.pm
/usr/share/perl5/Monitoring/Livestatus/Class/Table/Contactgroups.pm
/usr/share/perl5/Monitoring/Livestatus/Class/Table/Contacts.pm
/usr/share/perl5/Monitoring/Livestatus/Class/Table/Downtimes.pm
/usr/share/perl5/Monitoring/Livestatus/Class/Table/Hostgroups.pm
/usr/share/perl5/Monitoring/Livestatus/Class/Table/Hosts.pm
/usr/share/perl5/Monitoring/Livestatus/Class/Table/Log.pm
/usr/share/perl5/Monitoring/Livestatus/Class/Table/Servicegroups.pm
/usr/share/perl5/Monitoring/Livestatus/Class/Table/Services.pm
/usr/share/perl5/Monitoring/Livestatus/Class/Table/Servicesbygroup.pm
/usr/share/perl5/Monitoring/Livestatus/Class/Table/Servicesbyhostgroup.pm
/usr/share/perl5/Monitoring/Livestatus/Class/Table/Status.pm
/usr/share/perl5/Monitoring/Livestatus/Class/Table/Timeperiods.pm