Thanks again. I did review a number of options before posting here for review by the big guns. :) I know some people love the remotes, but personally, I prefer simplicity and control via switches. A remote is one more thing to lose and/or have "hidden" by young children! And yes, our current switches are rotary-style combo setups (two knobs per switch) that control both lights and the fan - there are two settings for lights (low or high) and three speed settings for the fan - each controlled by its respective rotary knob. I've found plenty of switches that control both fan and offer dimming for lights - but all are rated for halogens or incandescents. It's just odd, and I wonder why. I did try a "dimmable" candelabra LED in our current fan/dimmer switch setup - it flickered badly on the low setting. I think some dimmable LED bulbs are okay with newer incandescent dimmers (per happy reviews from folks like JMVD), whereas other LEDs - even those rated dimmable - are more finicky. I won't beat a dead horse. I just wondered if anyone knew of combo switches rated for LEDs that I might have overlooked, or if there was a compelling reason for why they don't seem to exist yet. Maybe we'll try a Maestro switch though, and experiment. Thanks again!

It is most likely a Hampton Bay (Home Depot) or Hunter. Try removing the canopy (the cover up at the ceiling) and see if there is a name inside. You should see the remote control box. You could also remove the bottom cover where a light fixture would be attached. That also may tell you the brand. If this fails then you could buy a universal remote with either of these brands. You could get lucky and it works, or you may have to reset the DIP switches on the current receiver in the fan. If none of that works then you would have to wire in the new receiver that comes with the universal remote. The instructions tell you how to do it.

Have you looked in to universal remotes for ceiling fan and light? Ask at your local lighting shop. https://www.amazon.com/Universal-Ceiling-Fan-Remote-Control/dp/B00A2WU4CK

For a matched set, you may need to replace them all. Lowes, Home Depot, etal are possible sources or perhaps a specialty lighting shop.