Yes. The reference it cites contradicts it: "The first algorithm intended to be executed by a computer was designed by Ada Lovelace" with a link to https://www.cs.virginia.edu/~robins/Ada_and_the_First_Comput... which says "Many people, for instance, incorrectly claim that Ada was the first computer programmer. (Babbage, not Ada, wrote the first programs for his Analytical Engine, although most were never published.)"
Yes. The reference it cites contradicts it: "The first algorithm intended to be executed by a computer was designed by Ada Lovelace" with a link to https://www.cs.virginia.edu/~robins/Ada_and_the_First_Comput... which says "Many people, for instance, incorrectly claim that Ada was the first computer programmer. (Babbage, not Ada, wrote the first programs for his Analytical Engine, although most were never published.)"