I had to work through that same problem being my house was also built in the 50’s.
I guess it is a common practice to replace two prong receptacles with three prong receptacles to increase the homes resale value. I was pretty pissed to find that out after purchasing my house that all the outlets other than the ones in my basement, bathroom, and kitchen were not properly grounded.
I hired an electrician and they ran ground lines for the outlets in my AV room it was only a couple of hundred dollars because the breaker box had already been upgraded.
It sounds like OP that you seem to have some concerns with the way you are solving your problem or you would not be here asking for our advice? Cheers