Light aircraft instructor pilot reported an NMAC with another light aircraft shortly after takeoff at HMP airport.

Narrative

While giving a flight lesson at HMP my student and I were practicing a takeoff on Runway 24. There were two other aircraft in the downwind using Runway 24 and Runway 24 had been the runway in use for the previous hour or more. Winds were calm. Before taking off we were listening to the CTAF; checking the area visually and on the ADSB in/moving maps; and making good radio calls; as usual.On takeoff; after rotating and at about 150 feet AGL we saw the Aircraft Y approaching in the opposite direction to land on Runway 6. They were crossing the threshold and continuing down. We made a radio call that we would go right and turned right to avoid them. At that point they also turned to their right to avoid us and then circled into a very low and tight left downwind for Runway 24. The Aircraft Y never made any radio calls and did not show up on ADS-B in. I'm sure they do not even have an electrical system; so no radio or ADS-B in or out. While I know these are not legally required for these certain aircraft even under the Class B; in my opinion they were flying in a way that posed a risk hazard. By not flying a normal traffic pattern; or overflying the field to asses traffic; and just coming straight in on the opposite runway; they created a collision hazard.