The name of the ethernet controller given by lspci appears to give the names of four different embedded (GLCI/LCI) controllers released over a four-year period, according to their respective pages at ark.intel.com as listed below.
http://ark.intel.com/products/33191/Intel-82562ET-Fast-Ethernet-PHY
http://ark.intel.com/products/33193/Intel-82562EZ-Fast-Ethernet-PHY
http://ark.intel.com/products/33150/Intel-82562GT-Fast-Ethernet-PHY
http://ark.intel.com/products/33151/Intel-82562GZ-Fast-Ethernet-PHY
I'm not sure how to address this; any insight is welcome.