Which preposition to use with tottle

along Occurrences 1%

Then there are heaps, as we Southerners say, of droll little children running about, some of them quite nicely dressed, with no servant to take care of them; and yesterday, on the rocks that look out upon the ocean, I met a little boy who could scarcely walk tottling along beside one but little older, as independent and happy as if he might not at any time fall and hit his little white head against one of the sharp stones.

Which preposition to use with  tottle