Your iLiad has
two network adapters.
eth0 is the hardwired one, its mac address is on the back of your iLiad.
wlan0 is the wifi adapter, its mac address is obviously 00:1E:37:12:09:AC.
Two different network adapters, two different mac addresses
-> two
different ip addresses!
This a common mistake to make, if mac address filtering is turned on
in the router's settings and the wifi mac address has not been added
to the allow list.
Dirk
P.S.: You connected exclusivly per wlan at your parents, right?