Fan Fic Correct English (or not)

[Sarah Leigh ...]

Just a quick question.
I have a scene with Dung, who is talking about Harry and the Hog's Head 
pub.
Dung is the sort of person who might drop his h's, so my question is, 
in dialogue when Dung is using a noun, but dropping the 'h', does the 
next letter become capitalised?
eg 'Arry, or 'arry ?

I'm thinking that the vowel should remain lower case, but I'm just 
checking because I don't think this is the sort of thing you can look 
up in a grammar book.

TIA Sarah xx