Yes, it is the applicant's responsibility to make sure the housing authority or apartment community they applied to has the household's most current information.
If any application information changes, such as income, contact information and household members, you must update this information immediately. This is important not only for eligibility, but also to make sure you receive any notices sent to you.
Usually once a year, the housing authority or apartment community will send a notice to all persons on the waiting list, asking them if they would like to stay on the list. This is called a purge notice. Anyone who responds no, or does not respond to the notice will be terminated from the waiting list. So, if your contact information is out of date, you will not receive the purge notice, and you would be taken off the list because you didn't respond.
If it has been more than one year since you have received a notice about a waiting list you are on, contact the housing office to make sure you are still on the list. You can find more information on how to check your status on a waiting list here.