Swamigo on Family Tree Circles

William was born 1825 Lincoln England 1861 census it is Lincoln along with wife Rebecca Stainfield, 1871 census he is born Putney and she is now Elizabeth but same year and Lincoln. Also he was unusual in that he was a Submarine diver in 1861.

There is a lovely tale in that his wife lost her hat, bracelet overboard and he dived in to rescue it.

My own reckoning is that Rebecca and Elizabeth are the same person and 1861 Census was wrong. Any help Please?