To eat a child; to partake of a treat given to the parish officers, in part of commutation for a bastard child: the common price was formerly ten pounds and a greasy chiu. See Greasy Chin.
Definition taken from The 1811 Dictionary of the Vulgar Tongue, originally by Francis Grose.
Chicken Nabob * Chimney ChopsNathan Bailey's 1736 Dictionary of canting and thieving slang
John S. Farmer's collection of canting songs and slang rhymes