The Collaborative International Dictionary of English v.0.48:

Stroll \Stroll\, v. i. [imp. & p. p. Strolled; p. pr. & vb. n.
   Strolling.] [Cf. Dan. stryge to stroll, Sw. stryka to
   stroke, to ramble, dial. Sw. strykel one who strolls about,
   Icel. strj?ka to stroke, D. struikelen to stumble, G.
   straucheln. Cf. Struggle.]
   To wander on foot; to ramble idly or leisurely; to rove.
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         These mothers stroll to beg sustenance for their
         helpless infants.                        --Swift.
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   Syn: To rove; roam; range; stray.
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