Lexical Definition

‎στέγη‎ stégē (steg'-ay) roof ^G:N-F
strengthened from a primary (a "thatch" or "deck" of a building)

roof.

• a roof

Abbott-Smith

στέγη, -ης, ἡ (< στέγω) [in LXX: Ge 8:13 (מִכְסֶה), etc. ;]
a roof: Mk 2:4; of entering a house, εἰσέρχεσθαι ὑπὸ τὴν σ., Mt 8:8, Lk 7:6 (cf. MM, xxiii).†

Abbott-Smith References

Liddell-Scott-Jones

στέγη-η,

Doric dialectand Aeolic dialect στέγηα, ἡ, roof, [NT+5th c.BC+]; παρέχειν τινὶ σ. give one shelter, [στέγηῃ δέχεσθαί τινας “OGI” 665.25 (Egypt, 1st c.AD). ">Refs 4th c.BC+]

__2 ceiling, [Refs 7th c.BC+]
__II roofed place, chamber, room, [Refs 5th c.BC+]; covered vestibule, [Refs]; ἕρκειος σ., of a tent, [Refs 5th c.BC+]; a hare's seat or form, [Refs]; ἐκ κατώρυχος σ., of the grave, [Refs]
__II.2 storey of a house, [Refs 3rd c.BC+]; ἡ ἀνωτάτη σ. [Refs 1st c.BC+]; αἱ στέγηαι the upper storeys, [Refs 4th c.BC+]
__II.3 frequently in plural, house, dwelling, [Refs 4th c.BC+]; κατὰ στέγηας at home, [Refs 5th c.BC+]; ἐπελεῦσαι τῷ ἀνδρὶ ἐπὶ στέγηαν to the man's house, [Refs 5th c.BC+]
__III deck of a ship, in Latin stega, [Refs 3rd c.BC+]

_{LSJ Scripture Refs: Mark.2.4}