to be late "to do" / "doing" something

[sunsunmoon]

1. to be late to do something
2. to be late doing something
Are both correct? Do they mean the same thing?

Owen Hargreaves's timekeeping causes anger | Manchester United - Times Online
He was late to arrive at Manchester airport on Monday morning before the squad flew to Italy for their Champions League quarter-final, first leg away to AS Roma.

Anna Nicole Smith's Funeral: Inside the Service - Associated Content from Yahoo! - associatedcontent.com
Smith's mother, Virgie Arthur, was late to arrive at the service due to filing an emergency legal motion to halt the burial of her daughter.

South Florida Times: Miami , Broward, Palm Beach, Breaking News & Weather at SFLTimes.com - Around South Florida with Elgin Jones 07-14-11
Ronald Rohde, 52, of Boynton Beach was late paying his rent, so his roommate set him on fire.

 

[billmcd]

1. to be late to do something
2. to be late doing something
Are both correct? Do they mean the same thing?

Owen Hargreaves's timekeeping causes anger | Manchester United - Times Online
He was late to arrive at Manchester airport on Monday morning before the squad flew to Italy for their Champions League quarter-final, first leg away to AS Roma.

Anna Nicole Smith's Funeral: Inside the Service - Associated Content from Yahoo! - associatedcontent.com
Smith's mother, Virgie Arthur, was late to arrive at the service due to filing an emergency legal motion to halt the burial of her daughter.

South Florida Times: Miami , Broward, Palm Beach, Breaking News & Weather at SFLTimes.com - Around South Florida with Elgin Jones 07-14-11
Ronald Rohde, 52, of Boynton Beach was late paying his rent, so his roommate set him on fire.

Either form could be used with the same meaning in the examples you posted. AND I would be very careful of any relationship with Ronald Rohde's roommate.:-D