Green’s Dictionary of Slang

kate and sidney n.

also kate and sydney
[rhy. sl.]

steak and kidney.

[[Aus]Barrier Miner (Broken Hill, NSW) 21 Sept. 3/4: An excited young mother opf twins [...] when asked what names they were to have, replied ‘steak and kidney’ instead of ‘Kate and Sydney’].
[UK]W.L. George Making of an Englishman I 68: ‘You better have a Kate and Sidney,’ said Maud; ‘it’s English, quite English, you know.’.
[UK]J. Jones Rhy. Cockney Sl.
[UK](con. 1930s) Barltrop & Wolveridge Muvver Tongue 21: Kate and Sidney: steak and kidney.
[UK]R. Puxley Fresh Rabbit.
[Can]Interior News (Smithers, BC) 28 Nov. C4/3: I did, however, like steak and kidney pie, or Kate and Sydney as I call it.