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The Wikipedia article on the 1534 Act Respecting the Oath to the Succession also mentioned only one bishop (Bishop John Fisher) and grouped him with two others (that could be the possible referents of the My Catholic Life article):
The Wikipedia article, in the final paragraph, says that the acts went against their Catholic beliefs:
Refusal to take the oath led to the arrests of Sir Thomas More, Bishop John Fisher and John Houghton, O.Cart. under the Treasons Act 1534. They refused to take the oath because it included the abjuration of the pope and claimed the marriage between King Henry VIII and Catherine of Aragon was annulled and it went against their Catholic beliefs. More, Fisher and Houghton were beheaded in 1535.
The 1907 Catholic Encyclopedia entry on Apostolic Succession by Joseph Wilhelm confirms there was only one bishop:
The bishops, instead of swearing allegiance to the Pope, now swore allegiance to the King, without any saving clause. Blessed John Fisher was the only bishop who refused to take the new oath; his martyrdom is the first witness to the breach of continuity between the old English and the new Anglican Church. Heresy stepped in to widen the breach.
This is far fetched, but is it possible that the My Catholic Life article could have been phrased better grammatically (bold text is my edit):
All the bishops of England save Fisher, plus two others, lost their courage and acquiesced, without a fight, to Henry VIIIβs takeover of the Catholic Church in England. Their weakness brought to a sudden, crashing end a thousand years of Catholicism in England.
to mean that only 3 prominent Catholic figures were initially courageous to the end, but only one of them is a bishop.
According to this list of martyrs, these were executed in 1535:
I admit this is just pure speculation; a natural reading clearly implies there were 2 other bishops. Even if my speculation is correct, when reviewing the list above there is also no clear reason why Wikipedia singled out John Houghton as one of the early 1535 martyrs.
The list also clearly showed there was only one bishop martyred. Maybe the other unnamed 2 bishops initially rebelled but later acquiesced and therefore were not executed. If that is so, we need to find a scholarly reference to uncover the names.