Hi deborah,

These are the only Yates that came up in the IOM 1901:

2 Mona st, Douglas
Fred Yates, m, 23, tailor, born England
?Janise, wife, 29, born Peel

1 Park View, Castletown Rd, Braddan
John Yates, m, 68, retired ?poulterer, England
Elizabeth, wife, 52, England

There are over 800 Elizabeth Yates in Ancestry's 1901 index

Here are the ones I came across with spouse Robert:

Hamilton, Lanarkshire, Scotland
Robert, 30, coal miner, born Lanarks
Elizabeth 29, Lanarks

Eldon Lane, Durham county
R 32, coal labourer, Co. Durham
E 30, .co Durham
daughter Ruby, 4 months, Co Durham

Harrow on the Hill, Middx
R 53, oxfordshire (sorry, forgot to write his occupation, but a bit old for a newly wed)
E 43, Dorset
6 children born London

Bolton, Lancs
R 39, coal miner, Bolton
E 31, Aspell
Robert, son, 8 mo, Bolton
James, son, 10, Bolton

Lancs
R 44, cotton weaver, Lancs
Elizabeth Ann, 42, Lancs
grown up children

I stopped checking at 800.

If any of these seem familiar let me know and I'll copy you the entry. I would probably try some guesses at mistranscriptions in the index if I had more information, such as possible birth year or birthplace, but it would be impossible to do with just the names as they are.

Good luck anyway!