Hi,
From Lower's "Dictionary of the Family Names of the United Kingdom" pub. 1860
"GOTOBED. O. Germ.
Gott-bet, 'Pray to God.' Talbot's Engl. Etymol. Robert Gotobedde, Winchelsae, 20 Edw. I. Juliana Gotobedde, ibid. (Cooper). Notwithstanding Mr Talbot's conjecture, we may as well, perhaps, take this name
au pied de la lettre, and assume it was given as a sobriquet to people more than ordinarily attached to their couch. A similar collocation of words forming a surname occurs in the H.R., viz.: Serlo
Go-to-kirke, which was borne by one of the cottars of the hundred of Trippelowe, co. Cambridge, temp. Edw. I.-most probably in allusion to his constant attention to his public devotions."
H.R. refers to Rotuli Hundredorum - the Hundred Rolls (1273) which are the result of Edward I making inquiries about the state of his lands, revenues of the crown etc.
I think the Talbot will be referring to "English Etymologies" by W.H.F. Talbot.
No idea to what Cooper refers.
Strikes me that if you agree with Mr Lower's theory a modern equivalent would be Mr/Ms Couchpotato
Brie