If she is absolutely certain that Anthony B Jordan was born in Ireland, I don't think that is the right marriage, just a coincidence.
This is the Jordan family in Croydon in 1891 (before Anthony was born)  
RG12; Piece: 592; Folio 88; Page 26
Anthony Jordan   35  Master Taylor    Bury Lancs
Martha Jordan   35                                   Bolton Lancs
Thomas Jordan   13                                   Bolton Lancs
James A Jordan   11                           Bolton Lancs
William Jordan   8                                     Sherbourne Dorest
Annie C Jordan   2                                     Croydon Surrey
John Jordan   5                                      Croydon Surrey
In 1901   RG13; Piece: 641; Folio: 151; Page: 3.
Martha Jordan   45                      Bolton
Thomas Jordan   23                      Bolton
James A Jordan   21              Bolton
William Jordan   18                      Sherbourne
John Jordan   15                      Croydon
Annie C Jordan   12                      Croydon
Anthony B Jordan   3                Croydon
Martha died in Croydon in the December quarter 1922.
So there is no Irish link with this family. I think you do need to get Anthony Martin's birth certificate as that will give his mother's first name. If it does turn out to be Martha then the Irish connection is probably a family story that has got mixed up, if it isn't Martha then you know this is the wrong family.  
