QUESTION ABOUT TTL (time to live)

Just Plain Wack!
I wrote a little ditty I was testing and it works something like this..

it takes an IP address and broadcasts it to other IP addresses between a certain range... say 144.212.0.0 through 144.213.255.255.. on a specific port (ie 205) using the User Datagram Protocol (UDP)of the Winsock control. Only computers tuned into this port and actively listening will get the message.

To test it I ran a program I wrote that listens and reports these broacasts and ran both programs at the same time... my broadcaster sent out my IP address to the range.. and sooner or later.. i got the message back (as it was sent to my own IP address, which is within the range).. So it works like its supposed to...


However,
this evening, I got back on the internet thru dialup (and so was assigned a different IP address) and started another test run... LO AND BEHOLD... I recieved a broadcast from EIGHT HOURS AGO containing the IP ADDRESS i was assigned to back then...

MY QUESTION IS

WHY would those packets still be roaming through the SERVERS!??!! SHOULDNT the time to live kill them!!??

CAN ANYONE EXPLAIN THIS TO ME!!?