Lourence \lo(u)-ren-ce, lour(e)-nce\ as a girl's name is a variant of Lauren (Latin) and Laurence (French), and the meaning of Lourence is "the bay, or laurel plant".
The baby name Lourence sounds like Lorenza and Laurenza. Other similar baby names are Lourenca, Lorene, Laurene, Laurenne and Laurenca.