Mudge, Stern, Baldwin & Todd became Nixon, Mudge, Rose, Guthrie & Alexander and then
Mudge, Rose, Guthrie, Alexander & Ferndon. The firm was dissolved in 1995.
I've attached a link to the website of Hanson S. Reynolds - if you scroll down his background information you will see that he was an associate at Mudge Stern Baldwin & Todd from
1961 - 1967. Perhaps he can be helpful in advising you how to go about getting the information you need.
Rackemann, Sawyer & Brewster: Hanson Reynolds
The New York Foundling Hospital has a website (phone 212-633-9300):
New York Foundling: Welcome to New York Foundling