Colgate Logo – Colgate. is a product with an oral one. toothpaste toothbrush , founded by William Colgate and Francis Smith in 1806 in the name of Smith and Colgate later in the year 1813, William Colgate. stock returns and changes its name to William Colgate and Company, when Mr. Williams. Colgate died in 1857 the company name was changed to Colgate & Company and in 1873, Colgate toothpaste products. More