What this record means
The record shows that “REMEMBRANCE CROSS” is a cancelled Supplemental Register registration; the owner, Christian Brands, Inc., surrendered the mark and the USPTO cancelled it on April 17 2020. The registration covered only class 019 goods—marble sculptures, stone and marble statues, and stone sculptures—so a similar name used for those types of artwork would be the closest record‑based concern, while uses in unrelated categories fall farther from the scope shown. Because it was on the Supplemental Register, the prosecution history indicates the application was initially refused, then amended and accepted for Supplemental registration in June 2010, and later maintained through a Section 8 filing in 2016 before the surrender. The latest meaningful event is the cancellation notice and surrender in April 2020; no further maintenance dates are listed. The supplied history contains no oppositions, cancellations by third parties, or other enforcement actions. I'd treat this as a moderate concern if you plan to market marble or stone sculptures under a similar name, but the record does not block other kinds of goods or services.
Informational only - not legal advice.