Back in my much younger days, I worked for a multi-national company when they IPO'd. As part of that, I got shares via their employee stock plan. All normal, right?
Here come the complications:
1) The stock is only traded on the London Stock Exchange.
2) These shares are managed through the company's Registrar, Equiniti Shareview.
3) because I got these shares diretly from the company, I don't have an account number with Equiniti (that I can see in any way - I'm sure ther'es one in the system somewhere); I don't get statements from them; I don't get checks from them. I get dividend checks from the company whose stock I hold directly.

Frankly, the longer I hold these shares, the less they're worth. I've been trying to find a way to move these shares to an account I manage on a US-based broker.
Transfers to US brokers want account numbers and addresses; I can grab the address, but that's it, and since it's a UK address, I won't fit on the web-based forms I'm provided anyway.

Would it just be easiest to sell these shares, take whatever tax/international stock trading tariff/etc hit I get (the total value is under $1000), get a check and move on, or am I missing an easy way to transfer these shares to a US broker?