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.
