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The pictures seen above are from Halo 3: ODST. What you are seeing is a memorial that lists the people who died on Reach or went MIA after Reach fell. What you can see in the picture clearly is the name "Jun LO". For those of you who don't know, Jun Lo is Jun's real full name. There is a lot of controversy around whether or not Dr. Halsey and Jun, after leaving Reach, survived. These memorials in ODST give us more information on the current status of these two individuals. While it lists Jun as dead, it says that Halsey is "presumed" to be dead. Whether or not, we don't truly know the status of these two individuals and we probably will never know unless someone from Bungie says something or we find an Easter Egg somewhere within Reach giving us more information on their statuses.
If you read Halo: First Strike you find out that Halsey survived Reach.