Greetings,
From a global perspective HR has 3 pillars or activity areas, they are:
admistrative = the "paperwork"
functional = the "do"... recruitment, payroll, training, compensation
strategic = the higher order, long term planning, manpower planning, reward and incentive strategies, performance management strategy, recruitment and retention strategy, succession planning
How companies define the exact duties and tasks and how they "departmentalize them" is solely up to the organization and the standard practices of the country in which they operate.
As an example, in the USA Health and safety of employees is an HR responsibility , however, in the UAE, those responsibilities are delegated to Facilities.
So, its important to know where someone is serving to accurately answer a question.
One last comment: as a fresh "executive" in an HR role, dont hesitate to learn the "clerical" details...esp in a small organization. It will provide you a wide generalist experience and it will serve you well as you progress in your career. It will allow you an in-depth understanding of what HR does and how the various sub depts and functions work together.
I am a "General Manager".... and I type client invoices...why? Because we are a small speciality firm.
Building experience and "know-how" is never a bad thing.
Cheers on a Friday
Bruncha