cry on (one's) shoulder
To bemoan one's problems to someone else. We need to try to cheer Ben up—he's been crying on my shoulder all week. Can I please cry on your shoulder for a little bit? I just found out I failed my Bio exam.
cry on (someone's) shoulder
To tell one's troubles and woes to a sympathetic person. After the breakup, he cried on my shoulder all night long.
cry on (someone's) shoulder
To tell one's problems to someone else in an attempt to gain sympathy or consolation.