The two bar soap brands mentioned in the crossword solutions are Camay and LAVA. Camay is a brand of soap that was first introduced by Procter & Gamble in 1926. It is known for its mildness and creamy lather, and is available in a variety of scents. LAVA is a brand of heavy-duty hand cleaner that was first introduced in 1893. It is known for its pumice-based formula, which is designed to remove tough dirt and grime from hands.