The point you find yourself, between the tiredness that grows heavy on your eyes, and being in full fledged sleep. You may be in fits and starts of fading into sleep for a few seconds, before you wake out of it; the constant gliding back to sleep would be considered sleepstreaming.
David grew weary on his seat in the glow of the TV, he'd been sleepstreaming and kept waking up a few seconds after falling limp in the couch, obviously beaten by the day's labour.
Fogey/fogy /fougi/ sl. (early 18C+, orig. Scot) old-fashioned, stuck-in-the mud.
Person with old fashioned ideas which he is unwilling to change: Come to the disco and stop being such an old fogey!
You think me an old fogeyand an old tory, his thoughtful voice said. I saw three generations since O’Connel’s time. I remember the famine. Do you know that the orange lodges agitated for repeal of the union twenty years before O’Connel did or before the prelates of your communion denounced him as a demagogue? You fenians forget some things. (James Joyce, Ulysses. Penguin Books,1992. p. 38)