A couple.
Your wife has a good eye..., for starters! Tell her I said, "Nice find!"
I found a similar antique fireman's tool last year. I'll re-post some photos, a patent, and some marked-up photos based on some research I did at the time and some intuition.
Mine was made by Akron Brass Manufacturing in Wooster, Ohio.



Here are the mark-ups...
(1) Those two hooks are the hook spanner for tapered curved lugs on fire hose couplings.
(2) The larger hook will also allow it to hang on a ladder rung.
(3) The ring is for clipping it to a fireman's personal equipment by a lanyard or strap.
(4) Judging purely by the shape, which reminds me of a crate tool or any large pry, I am surmising this end is for using it to get doors open when you shouldn't or can't just break it down. But that's just speculation.
(5) Following the same logic, to pry fasteners. Again, guessing.
(6) To pop open a bottle of beer at the end of the shift. (No, seriously, would also pry, I suppose, but again, just guessing.)
Here's the patent...
And here is what an actual fireman, expert and all-around good guy told me...
Lugz--that's a spanner for tightening and loosening couplings on 2 1/2" fire hose as shown in the patent drawing. It's also somewhat of a multi-tool, can be used to turn off a gas **** and for light prying. The loop on the end is to hang on the buckle of a firefighter's turnout coat. Primary makers are Akron Brass and Elkhart Brass, both old major manufacturers of firefighting nozzles and appliances. They are used in pairs on hose couplings and several sets are usually carried on their own specifically made base on pumpers. These haven't changed much over the years.