The stair of stares or stare of stairs?

Lunga {"Loong-ga"-Italian for 'long'} has her favourite place to fluff-out. For reasons known only to her, she likes to stop halfway up the stairs. It reminds me of the words in that lovely wee song from The Muppet Show..."Halfway up the stairs is a stair where I sit.. There isn't any other stair quite like it.. It's not at the bottom, and it's not at the top, so this is the stair where I always stop". Anyway, her stare says it's her stair if you'll pardon the pun.{cringe}