Eddie (played by Eddie 'Rochester' Anderson) says that he's going back to "Mr. Benny". The reference is to Jack Benny, on whose radio and television programs Anderson played Rochester, Jack Benny's driver. This would imply that the character actually IS Rochester, but evidently they couldn't legally use that name, so they use his real name instead.
When Gail says, "Just like the Pot O' Gold program", she is referring to the popular radio show that was on NBC from September 1939 to December 1941. The premise was whoever answered the phone from a number chosen at random would win $1,000 (over $22,000 in 2024). Of course calling random numbers out of the phone book would result in a lot of calls not being answered.
In a 1972 interview, Joan Blondell remembered: "It was a hit but has grown on TV viewings because it is public domain. I laugh when I see it. I laugh at Eddie Anderson and Patsy Kelly and Billie Burke and Rollie Young. It's a send-up of all those dark house plots."
According to the Internet Movie Car Database, Cosmo Topper who, if one remembers, always had an eye for special automobiles, had Eddie driving his 1936 Mercedes SSK. This was an exotic (and expensive) car from the era. Mercedes ended manufacture of the model in 1941. The crashed cab is identified as a 1936 De Soto, Movie fans recognize this as a common taxi used in films of that time, ergo the De Soto Cab Company.
The failure of the original copyright holder to renew the film's copyright resulted in it falling into public domain, meaning that virtually anyone could duplicate and sell a VHS/DVD copy of the film. Therefore, many of the versions of this film available on the market are either severely (and usually badly) edited and/or of extremely poor quality, having been duped from second- or third-generation (or more) copies of the film.