彼女は猫を飼いたがっていた。

she; her; her; girlfriend; sweetheart

topic marker particle; indicates contrast with another option (stated or unstated); adds emphasis

cat; shamisen; geisha; wheelbarrow; clay bed-warmer; bottom; submissive partner of a homosexual relationship

indicates direct object of action; indicates subject of causative expression; indicates an area traversed; indicates time (period) over which action takes place; indicates point of departure or separation of action; indicates object of desire, like, hate, etc.

to keep (a pet or other animal); to raise; to have; to own; to feed