With on: to continue sleeping, to sleep late.

to lie it out: to sleep on late into the morning. ? Obsolete.

With over. †(a) to sleep late (Obsolete); (b) to spend the night at a place other than one's own residence (chiefly U.S.).

To remain in bed (after one's usual hour of rising). Cf. lie-in n. at lie, n.2 compounds.

With in: To sleep in the house, or on the premises, where one is employed (contrasted with ‘to sleep out’); also Nautical, to remain in one's berth…