Since you got the hard one right off the bat, I’ll toss in the easy one and go slink off in a corner in awe of you skills.
The answer is that both songs were co-written by men who would achieve high political office.
You got Dawes. He wrote the tune; Carl Sigman added the words decades later in 1951.
"Will You Love Me in December… " was co-written by James (Jimmy) J. Walker who wrote the lyrics. Walker would abandon songwriting, enter politics, and get elected mayor of NYC (1925). He presided over a scandalously corrupt administration, resigned from office in disgrace and – following the tradition of other fallen NYC pols – promptly left for Europe.
Robert Hunter Johnny Mercer (Autumn Leaves gets me every time) Peter Gabriel (Suppers Ready, and the entire Lamb Lies Down… blows me away, along with every other Genesis piece from that time period) Billy Joel (even though I absolutely despise his music, I think he has a way with words, e.g.The Entertainer) Tower of Power (don’t know any other song except “What is Hip” but love the lyrics) Pete Seeger
Ones that popped into my mind were
Morrissey
James Hetfield
Mark Knopfler (see “Romeo and Juliet” from Making Movies (coincidently this is the song that Douglas Adams refers to in “So Long and Thanks For All the Fish”))