The adjective h-less (pronounced aitchless) is in the OED. It means 'not pronouncing the letter H'. Not pronouncing H was always considered a lower-class trait and mocked by snobs and the upper classes, as the OED citation for the word makes clear: "Millionaire cheesemongers who dwell h-less in the feudal castles of the poor" (from an 1893 edition of Temple Bar Magazine).
The people often at the receiving end of such snobbery were Cockneys, since the Cockney dialect is renowned for not pronouncing Hs where they are written (remember Eliza Doolittle in My Fair Lady having to practise "In Hertford, Hereford and Hampshire hurricanes hardly happen"?). Conversely Cockneys often pronounce an H where it is not written. Here is an old poem called The Letter H's Protest to the Cockneys (from A Whimsey Anthology compiled by Carolyn Wells):
Whereas by you, I have been driven
From 'ouse, from 'ome, from 'ope, from 'eaven,
And placed by your most learned society
in Hexile, Hanguish and Hanxiety,
Nay, charged without one just pretence
With Harrogance and Himpudence, --
I here demand full restitution,
And beg you'll mend your Hellocution.