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.
   [1913 Webster]

         These mothers stroll to beg sustenance for their
         helpless infants.                        --Swift.
   [1913 Webster]

   Syn: To rove; roam; range; stray.
        [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Stroll \Stroll\, n.
   A wandering on foot; an idle and leisurely walk; a ramble.
   [1913 Webster]

WordNet (r) 3.0 (2006):

stroll
    n 1: a leisurely walk (usually in some public place) [syn:
         amble, promenade, saunter, stroll, perambulation]
    v 1: walk leisurely and with no apparent aim [syn: stroll,
         saunter]

Moby Thesaurus II by Grady Ward, 1.0:

162 Moby Thesaurus words for "stroll":
   airing, amble, andante, barge, bat around, bowl along, bum, bundle,
   claudicate, claudication, clump, constitutional, count ties, crawl,
   creep, dead march, divagate, dogtrot, drag, drag along, drag out,
   drift, droop, flit, flounce, foot, footpace, footslog,
   forced march, funeral march, gad, gad about, gait, gallivant,
   gallop, go about, go dead slow, go slow, go the rounds, halt, hike,
   hippety-hop, hit the road, hit the trail, hitch, hobble, hobo, hop,
   idle, inch, inch along, jaunt, jog, jog trot, jog-trot, jolt, jump,
   knock about, knock around, laze, leisurely gait, limp, linger,
   lock step, lumber, lumbering pace, lunge, lurch, march, meander,
   mince, mincing steps, mooch, mope, mosey, muck, mush, nomadize,
   pace, paddle, parade, peg, peregrinate, pererrate,
   peripatetic journey, peripateticism, piaffe, piaffer, plod, poke,
   poke along, prance, promenade, prowl, rack, ramble, range, roam,
   roll, rove, run about, sashay, saunter, schlep, scuff, scuffle,
   scuttle, shamble, shuffle, shuffle along, sidle, single-foot, skip,
   slink, slither, slog, slouch, slow march, slow motion, slowness,
   stagger, stagger along, stalk, stamp, step, stomp, straddle,
   straggle, stray, stretch, stride, strolling gait, strut, stump,
   swagger, swing, tittup, toddle, toddle along, totter, totter along,
   traipse, tramp, tread, trip, trot, trudge, turn, vagabond,
   vagabondize, velocity, waddle, walk, walk the tracks, walking tour,
   wamble, wander, wayfare, wiggle, wobble, worm, worm along