He shrugged at her first response to his query.  Then when she said she was with family, he nodded.  It was another reasonable reason to be away from the home country.  At least as strong as her accent was, he figured she was from somewhere else.  Most will lose some of the accents over time.  She could have been a few years in.  He was curious, of course, but she didn't seem to want to share too much information. 

"At the moment, I am at the 'otel.  After seeing sae many areas that call to be painted, I 'ave decided tae look for a place to stay for a wee bit longer.  I am expected in London for a showing, but I 'ad nae set a definite date, sae I will just let them know they must wait a bit longer.  I can set a date once I get settled 'ere and travel from 'ere tae there and keep up the painting when I am 'ere."

He took a bit of time giving her that first answer, as he tried to decide if he should let her know that he was an Earl.  He ended up thinking that she would likely be surprised either way.  He had enjoyed just talking to her without all of the fluff that would come when people knew who he was. Especially women.  He decided to let it come to time and who she knew that might fill her in on that bit of information.  If she didn't find out or didn't recognize the name, then he would have more chances of regular conversation with someone just being themselves.  It was a risk, but he thought it was worth it.

"Douglas Gordon."  He finished with his given name with out the title.  "May I 'ave yur name in turn?"  He asked glancing around over his shoulder partially to see if his name was familiar to her, hoping it wasn't.