Accommodation
It can be inferred from a contemporary newspaper article that Wilde stayed overnight in Freehold, as might be expected in what was then a remote town.
Nevertheless, quite a crowd gathered at Matawan Station last Monday evening, and again on Tuesday morning, to see the "too utterly-utter" Oscar Wilde...
Matawan Journal, May 13, 1882, 2
However, no record has been found to verify at which hotel he stayed, although his choice was limited, probably to the American Hotel or the Washington.