Do the words inhume and burial have any religious connotation?

Yes, both "inhume" and "burial" can carry religious connotations, as they often pertain to the practices surrounding the interment of the dead, which are frequently tied to cultural and religious beliefs about death and the afterlife. In many religions, burial rituals are significant, reflecting beliefs about the sanctity of the body and the journey of the soul. The choice of burial practices can vary widely depending on specific religious traditions and customs.