My mother had an album by a little girl that I used to love so much.
It might have been produced in the 60's but more likely in the 70's. 
The young lady singing was Caucasian.  The album cover was black with
her on
the front.  I think it was an album of cover songs.  The only two
songs I remember are "Swing on a Star" and "End of the World".  I
think her last name began with a Z.  It might have been Italian. 
That's all I can remember.  Do you think you could find the name of
the artist, the album title, and where I can purchase a copy?

Hello.

I believe that you're thinking of Lena Zavaroni.

Here is the tracklisting for her LP "Ma, He's Making Eyes at Me" (1974):

1. Ma! He's Making Eyes At Me 
2. The End Of The World
3. Swinging On A Star
4. Help Me Make It Through The Night
5. Cross My Heart
6. My Mammy
7. Rock-A-Bye Your Baby (with a dixie melody)
8. Country Roads
9. Pennies From Heaven
10. Love Can Make The World Go Around
11. My Happiness
12. River Deep Mountain High

source: Lena-zavaroni.net
http://www.lena-zavaroni.net/tracklist.htm

Buy the LP from these dealers listed on Musicstack.com:
http://www.musicstack.com/tsearch/zavaroni,_lena/ma_he's_making_eyes_at_me

-----
"swinging on a star" "end of the world"
"swinging on a star" "end of the world" lena

I hope this helps.

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Clarification of Answer by juggler-ga on 02 Jul 2004 10:20 PDT

I'm not sure that the musicstack URL parsed correctly:

Try this:
http://www.musicstack.com/listings.cgi?find=zavaroni,_lena&t=ma!_he's_making_eyes_at_me&media=4

---

Clarification of Answer by juggler-ga on 02 Jul 2004 10:21 PDT

And here's the black cover that you probably remember:
http://www.musicstack.com/item.cgi?item=21575896&find=zavaroni,+lena