If you're talking of the newest commercial for 2012, then The Delta Rhythm Boys are your group! At the link below, you'll listen to the original 1958 version (or older, French children's song) that was transformed by these lovely boys of the fifties for an older age group. I find the song a thrilling listen.
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The New Seekers
HESKEY
free to be you and me by the new seekers
New Seekers
Tim Meyers
Entrance Song. by the Black Angels
Free to be..you and Me"...by the New Seekers
the words are: Alouette, gentille alouette, Alouette, je te plumerai. it is an old french children's song talking about plucking feathers from a lark's head, wings, tail and so on. It is sung by the Delta Rhythm Boys
Ray LaMontagne sings the song in the dog food commercial. Great voice, great song. Look for it on you tube.
The song is "Calabria," by Enur, featuring Nastaja.
Without more specific information, it is difficult to determine which Target commercial you are referring to from August 2011. It would be best to provide more details about the commercial or the lyrics of the song to assist in identifying the singer.
The singer of the new commercial for Target's "we love kids" is not specified. However, the lyrics you mentioned, "and bring your dolly's three and climb my apple tree," do not belong to the Target commercial.