I was turning out the attic the other day and came across this game. I think it should be called Rooks and Pawns really. It is a proprietary game (Gamecraft 1979), and is played on a 7*8 board, the shorter sides facing each player.
Each turn, a player may either make a move with their king or they can move one or two pawns.
The king moves like a Rook from orthodox chess. Instead, the king may also swap places with a pawn that is horizontally or vertically adjacent to it.
A pawn moves one or two squares horizontally, vertically, or diagonally (i.e., like a Queen, but at most two squares.) When a player moves one pawn in a turn, this pawn still may move at most two squares.
Pieces cannot capture other pieces.
A player can win in two ways: