If you test fit both spindles with the cranks you have (including test fitting a cotter) you likely will find that only the 127mm aligns with the cotters correctly (on the drive side). The crank is likely from a Continental, as it appears to have 1/2" pedal threads and has the extra depth for chain guard clearance. This is not a deal breaker for you, unless you are dogged in making it fully correct on the first go. The pedal holes can be drilled out and tapped for 9/16 threads relatively easily, or you can simply use 1/2" threaded pedals. Finding Superior track cranks is a labor of patience, and there is no reason not to build it with what you have and keep searching for what you want.
I cannot do a phone call this week, as I am overseas on vacation until May 8th...what I have written should give you what you need. The 122mm spindle will work for you if you are able to find a Superior (or even a Paramount) track crank...both spindles look to be in great shape, and both are hard to find, so I'd hold on to them. Best of luck.