Japanese Songs from movie "Carmen Comes Home" (Karumen kokyo ni kaeru, 1951)

What is this song, sung many times in the movie "Carmen Comes Home" (Karumen kokyo ni kaeru, 1951).
It plays at the opening of the movie, and 2 more times later on.
You can hear it here: https://youtu.be/1AJ6tmCAqEo?t=136
Lyrics sounds like: "Inoyama no, tsumoto no munayo, ..." (difficult to understand clearly)
Which song is this? Thanks.

What is this other song?
It plays in the movies "Carmen Comes Home" (Karumen kokyo ni kaeru, 1951) and "Tree Without Leaves" (Rakuyoju, 1986).
You can hear it here: https://www.youtube.com/watch?v=-M0fyK47684
Seems to be a circus festival music.
Which song is this? Thanks.

This is very old song and I heard it for the first time, but the song title is
"そばの花咲く"　木下忠司
Sobano Hana Saku by Kinoshita Chuji
https://www.youtube.com/watch?v=jCVkYkyRODM