Lachrymose "I remember hearing a word like this but I can't find it now."

Jerry's answer is right on the button, i.e. exactly correct. Lachrymose means someone who cries a lot. But you might also use sentimental. A sentimental person feels things strongly, sometimes too strongly, so they tend to cry easily, for example at romantic or sad movies. Lachrymose is an uncommon word almost never used in common conversation... it's restricted primarily to writing.

Cry-baby? Sniveller? Moaner?