The omentum are specialized folds of peritoneum that enclose nerves, blood vessels, lymph channels, fatty tissue, and connective tissue. There are two omenta. First, is the greater omentum that hangs off of the transverse colon and greater curvature of the stomach. The other is the lesser omentum that extends between the stomach and the liver.

Answer this question based on the passage: name the membrane that connects the stomach with the liver? OK. Let's think. My stream of consciousness:
The important part for answering this question is: The other is the lesser omentum that extends between the stomach and the liver. The answer is the lesser omentum.