Thomas Phelps according to that Marriage Record (LDS Family Search - www.familysearch.org), had been married previously, with a definite Date of Death for that earlier wife, some 7 months previously, "Feby 2- 1892", (2nd February 1892).
It may be possible to trace that earlier wife's Death Record, either in the USA or in England (as no location is given), leading to finding his earlier Marriage Record, probably in England.
If that earlier Marriage Record is found in the English Records (www.findmypast.co.uk), it would normally have the name of his father, making identification of Thomas Phelps himself, much easier.
Generally, every little detail potentially helps, very occasionally hinders.
If "Roller" indicates working in Iron and Steel, then such an area of England is a likely place to find him living etc, of which Barrow in Furness seems a very distinct possibility, given that there was a Thomas Phelps living there, although born elsewhere in England.
"Phelps" is a relatively rare name in England. being 1557th in frequency in the 1881 UK Census (Public Profiler - http://gbnames.publicprofiler.org/Surnames.aspx)http://gbnames.publicprofiler.org/Surnames.aspx). It is concentrated in Gloucestershire and significantly, Worcestershire
"I finally found the marriage certificate ..."
To help others to HELP YOU, you should cite the source, so that others can cross-check the details; amd pick up on other probably-important details, that you (may) have missed or omitted.