Okay, I guessed at what was meant. I tried the commands with and without quotes (I replaced the password with the #'s):
red@Homebrew:~$ sudo iwconfig wlan0 essid Trail key ##########
red@Homebrew:~$ sudo dhclient wlan0
Internet Systems Consortium DHCP Client V3.1.3
Copyright 2004-2009 Internet Systems Consortium.
All rights reserved.
For info, please visit
https://www.isc.org/software/dhcp/
Listening on LPF/wlan0/00:08:10:74:c7:c4
Sending on LPF/wlan0/00:08:10:74:c7:c4
Sending on Socket/fallback
DHCPDISCOVER on wlan0 to 255.255.255.255 port 67 interval 7
DHCPDISCOVER on wlan0 to 255.255.255.255 port 67 interval 7
DHCPDISCOVER on wlan0 to 255.255.255.255 port 67 interval 11
DHCPDISCOVER on wlan0 to 255.255.255.255 port 67 interval 21
DHCPDISCOVER on wlan0 to 255.255.255.255 port 67 interval 15
No DHCPOFFERS received.
No working leases in persistent database - sleeping.
red@Homebrew:~$ sudo iwconfig wlan0 essid "Trail" key "##########"
red@Homebrew:~$ sudo dhclient wlan0
There is already a pid file /var/run/dhclient.pid with pid 1638
killed old client process, removed PID file
Internet Systems Consortium DHCP Client V3.1.3
Copyright 2004-2009 Internet Systems Consortium.
All rights reserved.
For info, please visit
https://www.isc.org/software/dhcp/
Listening on LPF/wlan0/00:08:10:74:c7:c4
Sending on LPF/wlan0/00:08:10:74:c7:c4
Sending on Socket/fallback
DHCPDISCOVER on wlan0 to 255.255.255.255 port 67 interval 4
DHCPDISCOVER on wlan0 to 255.255.255.255 port 67 interval 8
DHCPDISCOVER on wlan0 to 255.255.255.255 port 67 interval 17
DHCPDISCOVER on wlan0 to 255.255.255.255 port 67 interval 8
DHCPDISCOVER on wlan0 to 255.255.255.255 port 67 interval 12
DHCPDISCOVER on wlan0 to 255.255.255.255 port 67 interval 12
No DHCPOFFERS received.
No working leases in persistent database - sleeping.
red@Homebrew:~$
The wireless icon implies it's connected but I can't see the network nor can another PC see Homebrew. The router shows the Homebrew Linux box with IPv4 address as being that of the eth0 connection. I disconnect the Cat5e cable whenever I run the wireless commands and have the usb adapter plugged in.