Green’s Dictionary of Slang

roger the lodger n.

[rhyme, but also pun on roger n.2 (3)]

a lodger who seduces his landlady, or the wife of his landlord; thus used of anyone who seduces a woman while her partner is absent.

[UK] in Campbell & Campbell War Paint 44: [aircraft nose art] Roger the Lodger.
[Aus](con. 1941) E. Lambert Twenty Thousand Thieves 113: I’ve had some bad news [...] Roger the Lodger.