Rebeckia \r(e)-beckia, reb(ec)-kia\ as a girl's name is a variant of Rebecca (Hebrew), and the meaning of Rebeckia is "to bind".
The baby name Rebeckia sounds like Rebecka, Rebekka, Rebekha, Rebeka, Rebecky, Rebeckah, Rebecha, Rebeca and Rebbecka. Other similar baby names are Rebeccka and Rebeccea.