"You and I's house"

One does occasionally encounter such oddities as this. I can only conclude that the cause is having the partial truth "It is 'you and I' not 'you and me"' beaten into us.

See further: http://women.timesonline.co.uk/tol/life_and_style/women/the_way_we_live/article6822414.ece.

Herein lies a further puzzle: why is this regular column from The Times on pedantry in English filed under 'Home... Life & Style... Women... The Way We Live...' ?