Green’s Dictionary of Slang

1. to gorge, to eat to excess; thus stodging n., eating heavily, gorging.

1860		Hotten Dict. of Modern Sl. etc. (2nd edn).
1873		Sl. Dict.
1887		‘’Arry on Angling’ in Punch 30 July 45/1: bell and me was soon stodging like winkles; that gal did make play with the snacks.
1914		‘Bartimeus’ ‘A Tithe of Admiralty’ in Naval Occasions 65: At the conclusion of the ceremony he was piloted to the Canteen, where the Cadet Captains were pleased to ‘stodge’ at his expense.

2. to work steadily at something tedious.

1914		C. Holme Lonely Plough (1931) 159: You might keep him stodging at it till I get back.
1939		D. Jones letter 17 Jan. in Hague Dai Greatcoat (1980) 89: Writing is odder than painting in some ways — One seems to stodge on and scratch out for hours and days and then sometimes [...] something breaks through .
1959		Listener 29 Oct. 748/2: Poor Dr. Bronowski seems fated to the pas seul [...] His fellows stodge around, looking severe and sagacious and sound and sensible.