There’s a lot more help for people in shelter than those who are housed. That’s because the state pays a lot of money to ensure all families have access to shelter so they’re incentivized to come up with ways to move those families into housing. The ones below your client likely moved out of homelessness through one of the housing subsidies put into place to move them out of shelter. It’s highly unlikely they have a section 8 voucher (thru HUD) if they are all truly undocumented. Possibly MRVP or a short term subsidy like HomeBASE.

And no one is illegal. That’s a dog whistle for racists.