Since Esonic is a smaller brand, finding official support pages can sometimes be tricky. You have three main options:
What is the printed on the motherboard (e.g., H61FHL, H61DA1, H61-FEL)? esonic h61 motherboard lan driver
Realtek PCIe GBE (Gigabit) or FE (Fast Ethernet) Family Controller. Compatibility: Windows 7, 8, 10, and 11 (32-bit and 64-bit). Since Esonic is a smaller brand, finding official