I'm gonna wade in here, just to confuse the issue a bit..
zzdiesel's location is in Missouri; infact, he references the system in another post; so all this talk about 'odd offset inputs' seems to be null & void; doesn't apply here, because the system in not anywhere near Line A, yadda, yadda.
& thanks for the link about system credentials; very good. So, LTR or similar eh?
Another (very good) question asked was the quality of the signal; scratchy, or low modulation?
On first level analysis, scratchy would imply the RF getting into the receiver is weak, not too far above the squelch threshold. Bad/broken antenna for the base, low RF output power, etc.
Low audio/low modulation would imply something like the user isn't speaking into the microphone well (hand mic at arm's length, or desk mic across the room, etc.)
Back to the ORIGINAL question, is there an input; yes, standard input frequency on UHF, even in an LTR system, is 5 MHz above the repeater's TX freq; so if you hear the repeater at 452.66250 MHz, you should be able to hear (assuming you're physically close enough to the transmitting unit!) on 457.66250 MHz.
Now, (sorry, going into lecture mode here, bear with me) since this seems to be a trunking system, & I've concluded you're using a LTR-capable trunked scanner, (based on what you list under your signature), you would have to be pretty quick to grab any audio on the other input frequencies used. But, I'm sure you could do it.
Could be just that the audio in that particular base is badly aligned;
Sounds like an interesting problem to be solved.