Etymology Early 19th century, perhaps of expressive origin and influenced by stick and bog. Compare stodge.
1
Dated, Used in passive To bog down; to cause to be stuck in mud.
If any of his party are mad, they'll try it, and be stogged till the day of judgment. There are bogs..twenty feet deep.1855, Charles Kingsley, chapter 5, in Westward Ho!:
[…] with not even sense enough to see that if Dicker had a mind to walk away from him, good and quick, and leave him half stogged there in the mud, he could do it easy.1899, The Cornish Magazine (volume 2, page 175)
2
Obsolete To walk with a heavy or clumsy gait; to plod.
He studied the cold gray rips in the current and dismounted and loosed the girthstraps and undressed and stogged his boots in the legs of his trousers as he'd done before in that long ago […]1992, Cormac McCarthy, All the Pretty Horses, →ISBN, page 293: