Is "trollopsing" a word, and if so, how is it used?

Solution 1:

It is not listed in the OED or any other major on-line dictionary.

Searching through google books, one finds this entry:

Trolloping part. adj. Walking through dirt and mire, as a slattern does; trudging. Sometimes 'Trollopsing'.

This is an entry in A Warwickshire Word-book: Comprising Obsolescent and Dialect Words, Colloquialisms, etc. Gathered from Oral Tradition, and Collated with Accordant Words (here)

Therefore, for all intents and purposes, it is arguably not a word in Standard English.