Hi Jake,
72 Bassman 10 is most likely CTS (Chicago Telephone Supply) Mfg. code (stamped in ink on the speaker frame would be 137 if CTS.
Here are other possible codes.
Oxford code is 465
Utah is 328
Eminence 67
Jensen 220
Ampwares suggests that JBL speakers were an option as well. Personally, I've never seen a JBL equipped Bassman 10.
Except for one unique feature, the CTS 10 is a fairly generic 10" ceramic magnet 1" or 1.25" voice coil paper cone stamped steel frame loudspeaker. It features a conventional paper bobbin overhung voice coil using enamel insulated copper wire of about 29-31 gauge. The paper itself features stiffening grooves to improve low frequency response and decrease distortion.
That one most unique and difficult to match aspect of your 4x10 Bassman OEM speakers? That will be the fact that these are 32 ohm speakers (!) The are wired in parallel, for a combined DCR of 8 ohms.
Fortunately, if you want exact CTS replacements, you can find these from several places.
1. Fender PA columns from the era - they also used 32 ohm CTS speakers and should be identical to what is in your Bassman. Look on eBay. You can find them - sometimes...and the price is often quite right because "they're 32 ohm" (e.g. most people think they're worthless.)
2. Fender Rhodes cabinets (pricier, but also sometimes carrying the CTS 10" 32 ohm speakers)
Another non-CTS option for 32 Ohm would be Mod10/50 Jensens. They are fairly similar to your CTS in many respects, if you want to buy new.
Another choice would be these Kustom speaker columns. Here's an example on ebay right now
These three appear to be Oxfords or perhaps CTS. You could inquire the DCR from the seller. 32 ohm units will be obvious. the DCR (DC resistance) should be well over 20 ohms... easily distinguished from 4, 8, and 16 ohm units. Of course, you'd need four of them...
If you can't find 32 ohm speakers, all is not lost. You can replace the CTS speakers with four (4) eight ohm units from a variety of manufacturers. You must, however, wire 8 ohm speakers in "series-parallel" to achieve the requisite 8 ohm load your amp requires. Again, very easy - to see how to do it, simply look at a wiring diagram for any Marshall mono 4x12 cabinet from the 1960's or 70's. They are wired series-parallel. Wire your four (4) eight ohm replacement speakers exactly the same way.
With new Jensens, one choice I would look at would be Mod 10/35, which come in 8/16 ohm. Get the 8 ohm and wire them series parallel.
Another less obvious but potentially interesting option would be something like this: (if you could find four of them)
This is a Zenith unit - with a 2 inch voice coil and Alnico magnet. You might have to look a while to find four, but they are out there and would probably work fine.
Finally, DO NOT get big magnet low efficiency speakers. You want low wattage units - a rating of 20 watts per speaker is more than enough. Be specific - for new speakers, ask the db output for 1 watt input at 1 meter. anything less than about 87 is not going to cut it.
Good luck with your Amp. I love the Bassman 10. A great and much under-appreciated classic Fender design that is actually quite true to what most people consider "classic" blackface design than other more glamorous amps of the era such as the Silver face twin, etc.
Cheers!
Keith