Wanderingly

wan·der  (wndr)

v. wan·dered, wan·der·ing, wan·ders

v.intr.

1. To move about without a definite destination or purpose.

2. To go by an indirect route or at no set pace; amble: wander toward town.

3. To proceed in an irregular course; meander.

4. To go astray: wander from the path of righteousness.

5. To lose clarity or coherence of thought or expression.

v.tr.

To wander across or through: wander the forests and fields.

n.

The act or an instance of wandering; a stroll.

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[Middle English wanderen, from Old English wandrian.]

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wander·er n.

wander·ing·ly adv.

Synonyms: wander, ramble, roam, rove¹, range, meander, stray, gallivant, gad¹
These verbs mean to move about at random or without destination or purpose. Wander and ramble stress the absence of a fixed course or goal: wandered down the hall lost in thought. "They would go off together, rambling along the river" John Galsworthy.
Roam and rove emphasize freedom of movement, often over a wide area: "Herds of horses and cattle roamed at will over the plain" George W. Cable. "For ten long years I roved about, living first in one capital, then another" Charlotte Brontë.
Range suggests wandering in all directions: "a large hunting party known to be ranging the prairie" Francis Parkman.
Meander suggests leisurely wandering over an irregular or winding course: "He meandered to and fro . . . observing the manners and customs of Hillport society" Arnold Bennett.
Stray refers to deviation from a proper course: "I ask pardon, I am straying from the question" Oliver Goldsmith.
Gallivant refers to wandering in search of pleasure: gallivanted all over the city during our visit.
Gad suggests restlessness: gadded about unaccompanied in foreign places.