In general, you would want to look at the pages at
http://tasvideos.org/GameResources.html
However, I don't see one for The Little Mermaid there. I looked at the previous publications for the NES version as well. McBobX's current run mentions a strategy change on the Walrus fight, but I don't know if that applies to this run. The previous publication by AnS has comments here:
http://tasvideos.org/1062S.html
He mentions a trick involving pressing A at the right times to pick up objects without slowing down. Perhaps something like that is useful here, I'm not sure.
I'm sorry I didn't catch this run on a forum thread earlier; I've only been able lately to watch the submission queue these days. In any case, you did a good run, and until someone actually demonstrates significant improvements, I'd say this should be published.