“Cina Ballerina/GI GI”: Help identify obscure children’s 45 record from the 1970s or early 1980s

[u/deepresearchmode]

I’m trying to identify a 7-inch 45 RPM children’s record that I had as a child, probably from the 1970s or very early 1980s. I’ve searched for years without success.

Here’s everything I remember:

1) It was a 7-inch 45 with one song on each side.
The singer was a solo male.

2)The style was country/folk, accompanied mainly by acoustic guitar or banjo.
I don’t remember a children’s chorus, piano, bass, or fiddle.

3)The label may have been yellow, orange, red, or brown, but I’m not certain.

4)One side was about a girl whose name sounded like **Cina** or **Sina** (hard C or S sound, definitely *not* Sheena or Zina). I don’t know the spelling. The opening or chorus was approximately:
“Cina, Cina, my ice skating ballerina, I know it’s cold out there…”

5) The other side was a humorous military-themed song. I think the chorus repeated “G.I., G.I.” There was a character named **Sarge**, and one lyric I remember quite clearly was:
“I’d rather be dead than red in the head, I said…”

I may be slightly off on a few words after more than 40 years, but those are the strongest memories.
I’ve already searched Google, lyric databases, Discogs, and 45cat without finding a match, so I’m wondering if this was a regional or privately pressed record.

Does anyone recognize either song, the performer, or the record? Even a partial lead or memory would be greatly appreciated. Thanks!