Ethanamine, i believe is more basic than ammonia. Consider the conjugate acid, the ammonium ion and the ethylammonium ion. The positive charge on the N is better stabilized in the 2nd case thanks to the +I effect of the ethyl group.
Pyridine : The positive charge on the N is stabilized by conjugation, no doubt, but at the cost of loss of aromaticity. Plus, the positive charge is on an sp2 N, not sp3 N as in the other 2 cases.
So, my bet is : Ethylamine>Ammonia>Pyridine (decreasing order of basic strength)