O, ye of llittle faith ...
KJ, when I was practicing law I typically had any settlement funds sent by check to my office by the insurance company, made payable to both the client and I.
I deposited the money in my trust account and disbursed them at the conclusion of the case by check after the client reviewed and signed off on a completed disbursement sheet.
Sometimes, if the amount warranted it, I set up a separate account so that the interest earned would go to the client and not to the bar, as otherwise the interest on the money in attorney's trust accounts went to the state bar to help fund it; it could be that this is what your attorney did.
Not sure how I'd handle it in these Modern Times, me being a Luddite and all.
One question: was the account the attorney set up in both his and your name, or yours only?