With the Who, Daltrey wrote two songs himself ("See My Way", "Here for More") and collaborated with Townshend on a third ("Anyway, Anyhow, Anywhere"). He also collaborated with one David "Cyrano" Langston on one more Who song, "Early Morning Cold Taxi", which was never released.
In his solo career, he relied on outside songwriters (Leo Sayer co-wrote most of his debut album with David Courtney, for example). He co-wrote 13 solo songs with other songwriters, mostly David Courtney. Six of those appeared on his 1992 album "Rocks in the Head"
So: overall, he has written 2 songs himself, and has 15 co-writing credits.