.A couple different answers here.

Little Bo Peep - This is one of the best known of all nursery rhymes. The origins of the actual verse are not known but it may refer to the popular hide and seek game, or the way in which a baby’s head is covered for a moment and then uncovered quickly. This has been recorded as far back as Elizabethan times.

This one seems to make more sense

The earliest record of this rhyme is in a manuscript of around 1805, which contains only the first verse. There are references to a children’s game called “Bo-Peep”, from the sixteenth century, including one in Shakespeare’s King Lear (Act I Scene iv), but little evidence that the rhyme existed. The additional verses are first recorded in the earliest printed version in a version of Gammer Gurton’s Garland or The Nursery Parnassus in 1810, making this one of the most modern nursery rhymes on the list.
Source(s):
http://listverse.com/2009/08/19/10-nursery-rhymes-and-their-origins/

http://nurseryrhymes.allinfoabout.com/little-bo-peep

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