Start with the sites, not with Google
Google does not hold the page, so asking Google first wastes the month. The page lives on a legal aggregator and the removal happens there, which is why our court records off Google guide starts at the sites carrying the case. Once a page is gone at source, the search result follows on its own.
Several of these are free and narrow. Trellis will redact your name from a public docket at no cost and without a court order, CourtListener will block a page from search engines on one contact-form request, and UniCourt's redaction request is free but weighs four factors before it moves. Each has its own guide: Trellis, CourtListener, UniCourt.
What a civil case does not get you
There is no expungement for a civil docket in most situations. Criminal records have a statutory path in many states and civil filings generally do not, so the certified order that unlocks a criminal removal usually has no equivalent here. What you have instead is each site's own discretion and its own policy.
Sealing is the exception worth asking your attorney about. Where a court seals a file, the aggregators have a much stronger reason to act, and a sealing order is the single most useful document you can hand this process.
Anything that stays gets outranked
Some pages will not move, and that is a normal outcome rather than a failure. A published opinion is not coming down, and neither is real news coverage of the case. The work then becomes building enough accurate, current material that the docket is not what a search for your name returns first.
That is the shape most of these engagements take. Nine negative page-one results tied to a federal case took six months to clear in our federal case work: aggregators removed where they were eligible, real journalism outranked rather than touched, and nothing faked to get there.
The order to work in
Get whatever disposition paperwork exists, work the aggregators one at a time, then deal with the search result. Our court record removal is $199 and covers every legal aggregator we can reach with twelve months of re-submission, because these sites repost and a single filing is not a result.
If the docket is only part of the problem, the whole first two pages as one job is $2,488, one time, and a bigger situation gets quoted on its own before any work starts.