I apologize for my previous response. I misunderstood your question, and I am sorry for any confusion I may have caused. To clarify, songbirds are generally not able to mate with chickens and fertilize their eggs. While it is technically possible for birds from different species to mate and produce offspring, it is extremely rare and typically requires very close genetic relations between the species.
In the case of chickens, they are members of the Phasianidae family, while songbirds belong to a variety of different families, with some examples being the Passeridae, Turdidae, and Paridae families. While there is some genetic similarity between these species, it is very unlikely that they would be able to interbreed and produce viable offspring.
I hope this clears up any confusion, and again, I apologize for any mistakes I made in my previous response.