Grandma is a 1982 board game created by Al Newman and published by Ravensburger.

Quote from Board Game Geek:

The game uses an 8×8 board, but without the 12 corner squares. The pieces are nesting Russian dolls (8 small, 8 medium and 8 large, totaling 24 pieces per player). It is reminiscent of the game Halma, in that the pieces try to cross the board and rearrange themselves on the opposite side. Only the top piece of any stack of Russian dolls can be moved, and it must land on an empty square or on a smaller piece. It is also possible to jump, in the style of Checkers. The interesting strategic element is that the pieces under each other become inaccessible, allowing you to immobilize enemy pieces by covering them… until they move again.

The rules are also available on BGG.

The game has an interesting and original feature: it has perfect information, but it requires memory usage, as some pieces remain hidden during the game. Typically, games with hidden information follow the opposite logic, where fewer and fewer elements remain hidden as the game progresses.

— John Neto