Here’s a Google Map with libraries that engage in library-social work collaboration at a variety of levels.
Who did I miss? Email me or comment below with the library name and what they’re doing (or, even better, a news link if it exists), and I’ll add to the map.
Whole Person Librarianship 
http://www.kansascity.com/news/local/article132989264.html
http://www.kshb.com/news/local-news/kansas-city-public-library-hosts-coffee-and-conversations-for-homeless
Thanks! I added these to your spot on the map.
RCL – Maplewood Library hosts “Community Resource Advocates” on Tuesdays to help patrons navigate social services and other resources.
http://host6.evanced.info/melsa/ramsey/eventsignup.asp?ID=29478&rts=&disptype=info&ret=eventcalendar.asp&pointer=&returnToSearch=&num=0&ad=&dt=mo&mo=4/1/2017&df=calendar&EventType=ALL&Lib=3&AgeGroup=ALL&La