ESP8266 Community Forum

I don't think there is a complete mDNS for LWIP out there - esp8266 or no - except .. !! .. Espressif had made a complete mDNS implementation themselves!
You can check it out in the RTOS_SDK_3xx which I think is pretty new. It's in the 'components/mdns' directory and separate from the lwip project.
Link: github.com/espressif/ESP8266_RTOS_SDK

Thanks @Solomon I had seen that one, unfortunately, I need it for the non-os sdk, so I would need to port it...

Yep, I removed everything not strictly necessary to run a "normal" set of code.

I don't think mDNS is that difficult, just make it yourself, like I did with the sntp client