In most cases, a household may qualify for a preference only if the head of household, co-head or spouse qualifies. Minors who qualify would not usually grant that household the preference on the waiting list. Still, each housing authority sets their preferences independently, and can define these preferences however they like. It is possible the housing office you apply through looks at it a little differently. For that reason, you should contact your local housing authority directly to be sure.
You can find contact for your housing authority by searching our website here