Could they recognise it? Certainly. As you say, a quick Google search will tell them.
Will it make any difference to your application? Nope, not in the slightest.
I had a couple of awork entries on my statements when I got my mortgage a couple of years ago, it makes no difference. Actually, when I separately rang my credit card company about my credit card, I'm sure the lady I spoke to knew exactly what it was but so what? She didn't say anything.
Your solicitor shouldn't ever see the statements anyway, and your bank will only question if they think it's a regular payment as they'll want to know if it's an ongoing commitment.
As it isn't - even if they know what it is - they won't care in the slightest. I guess if you're using a broker they might well see it, but they probably see all kinds of crap on statements all the time. They're not there to judge either.
I know it's embarrassing mate, but don't worry about it, it won't make any difference.