To bring this thread to a conclusion --
If just replacing a crimp pin on the socket: 350068-1 (Obsolete but I have remaining stock).
If replacing entire shooting match:
Modern replacement socket is 1419106-1 also known by older part number 27E006 .
Modern relay is LB4H-24DP (Rayex) or MY4-DC24 (Omron).
These relays do not include the hold down screw that the original had.
To get a relay with a hold down screw -> Potter & Brumfield KHAU-17D11-24 (new part number = 4-1393122-4).
Many of these can be found at Great Plains Electronics.
There's a myriad of obsolete part numbers for other replacement relays such as the Fujitsu FRL-263 listed above, not worth the effort of listing the obsolete parts.