Final answer:
The children did not want to play with Rowan and Tyger due to their status as outcasts, marked by their different behaviors and social barriers.
Step-by-step explanation:
The children did not want to play with Rowan and Tyger because they were outcasts. While Rowan's quietness and curious behaviors marked him as someone different, with 'foreign thoughts and longings', Tyger was excluded from play because the Mormon children were not allowed to associate with her, leaving her a 'shy, wild, lonely child'. Both Rowan and Tyger experienced being outsiders, which kept them apart from the other children and their games.