Add the IP as Eth0 when the primary is Eth1 (no gateway)
# nano /etc/network/interfaces
auto lo iface lo inet loopback auto eth0 iface eth0 inet static address 10.168.19.36 netmask 255.255.255.224 hwaddress 0C:C4:7A:6A:0F:E4 auto eth1 iface eth1 inet static address 206.xxx.xx.xx netmask 255.255.255.0 gateway 206.xxx.xx.1 hwaddress 0C:C4:7A:6A:0F:E5 dns-nameservers 8.8.8.8 4.4.4.4