Kernel.org: 5.1.5
sid (unstable): 4.19.37-3
buster (testing): 4.19.37-3
stretch (stable): 4.9.168-1+deb9u2
jessie (oldstable): 3.16.64-2

Debian GNU/Linux device driver check & report

Giga-byte: ga-965p-s3 Marvell 8056 ethernet adapter

PCI IDWorks?VendorDeviceDriverKernel
11ab4364YesMarvell Technology Group Ltd.88E8056 PCI-E Gigabit Ethernet Controllersky2v2.6.25-

Vendor provides a driver, but it doesn't compile straight out.  link: http://america.giga-byte.com/FileList/Driver/networking_driver_lan_linux_v8.3213.zip