Detectives from West Yorkshire Police have appealed for information in connection with the death of a baby boy in Halifax.
Halifax and Lloyds customers have taken to Twitter complaining that they were unable to withdraw money from machines or pay by card.
Both Lloyds and Halifax have tweeted that "normal service" has resumed after the problems earlier.
A banker has been banned from any senior banking position in the UK and fined a record £500,000 by the The Financial Services Authority (FSA) for his part in the collapse of Halifax Bank of Scotland.
Peter Cummings, was the head of corporate banking at HBOS, and was behind many of the bank's high-profile deals, before it had to be bailed out by the taxpayer.
The FSA said Cummings had failed to exercise enough care and attention in his corporate division while it pursued an aggressive expansion strategy.
But Mr Cummings, who is the only man to be sanctioned by the FSA over the HBOS collapse, branded the three-year FSA probe as "an Orwellian process by an organisation that acts as lawmaker, judge, jury, appeal court and executioner".
A Halifax employee has been arrested for allegedly stealing £720,000 from his own branch, according to The Sun.
A worker in the bank's Redditch branch is alleged to have stolen the money from ATMs over a period of seven months, the newspaper reports.
Halifax, part of taxpayer-backed Lloyds Banking Group, said in a statement:
The Atlantic Canadian port city of Halifax had to deal with the ghastly aftermath of a calamity that killed about 1,500 people.
It was Halifax that sent out ships to pick up the bodies, turned an ice rink into a morgue and interred the dead in three cemeteries.
"They built it in Belfast, sank it in the Atlantic and we buried it. In that sense, one very final part of the Titanic story is right here in Halifax," says local author Alan Ruffman.
The story of the Titanic still resonates in Halifax, which has many visible reminders of what was the worst peacetime maritime disaster ever: 150 graves, more than 20 sites linked to the recovery effort and dozens of artifacts.