I've been in the EMA office and seen a demonstration of the encoder that runs the system. It keys up for about a second before a strand of DTMF that lasts a second or two. It's a Whelen Engineering system.
Well, then you know what to listen for.
But finding the RF signal is going to be a challenge if it's only a few seconds.
There's a couple of challenges, though...
Don't trust that the EMA manager knows anything about radio. Our EMA managers radio knowledge pretty much stops at "push to talk, release to listen".
DTMF doesn't necessarily mean it's on an analog RF channel.
All you know for sure is that it uses DTMF and it's probably 800MHz, based on the antenna.
It could be a stand alone 800MHz frequency that's only used for siren activation. Might want to search the FCC database for a license that looks like that and has a transmitter site listed as the EMA office.
The transmitter at the EMA office will transmit the activation/deactivation. So you'd probably want to start by being close to that site. The sirens may not acknowledge, so you may have a hard time hearing anything if close to those.
Since they have an 800MHz DMR trunked system, it's entirely possible they are using that system. Finding that on your spectrum analyzer may be a challenge since it's a TDMA system and a short duration signal. But it's a place to start.
Maybe start looking at where the Yagi's are pointed. If they are pointed directly at the EMA office, then it's probably a conventional system.
If the antennas are pointed at their trunked system site(s), then that would be a clue.