As the status of hashita mono is inferred to be between nyobo and Zoshime (lower class maid), it seems not proper to consider that a daughter of Mototaka, who became a noble, was a hashita mono.
半物は女房と雑仕女の中間の身分と推測されるので、公卿になった基隆の娘が半物であったとは考えにくい。