My health book states that one important function of the liver is to deal with excessive hormones:
"Failure of the liver to synthesize enzymes needed to inactivate various hormones allows excessive amounts to accumulate in the body, resulting in a variety of unpleasant symptoms.
"For instance, inability to inactivate the antidiuretic hormone controlling urine production allows the tissues to become waterlogged.
"Too little insulinase permits the insulin in the blood to be excessive and the blood Sugar to remain consistently low."
So, yes, there is liver involvement in chronic low-blood-sugar. In most cases it boils down to limited enzyme synthesis, a function of the liver.