Lisa has a bath.
=possession (present). At the present time, Lisa owns a bath. リサさんはお風呂が持っている。
=action (present). (little bit rare) リサさんはお風呂に入っている。
Lisa had a bath.
=possession (past). Lisa owned a bath in the past, but not now. リサさんはお風呂が持っていた。
=action (past). Lisa was in the bath, but is no longer in the bath. リサさんは入浴した。
Lisa is having a bath.
=action (present). Lisa is in the bath at the moment. リサさんはお風呂に入っている。
Lisa has got a bath.
= British English. same as Lisa has a bath (possession present)
Lisa has gotten a bath.
=American English. same as Lisa has got a bath / Lisa has a bath (Possession present).