A play-up game where you may move sequences of cards of the same suit.

This game is Mrs Mop, written correctly from the description in Hoyle. 

This game was the first of the games I tried to add to the suite that I didn't already know.  Mary Jane had an old classic solitaire book with many games to learn.  As it turned out, I misinterpreted one of the rules and created what is now called Mr Mop, a harder variant of this game. 

A classic play-up game, in Mrs Mop you move within the Tables by moving individual cards or runs of cards of the same suit. You may move a suit run onto the higher card of any suit in Mrs Mop, which I take it is the mopping up part.