Well, the character is Jenny Reece and she's played by actress Blue Merrick. She's acted as Registrar for at least five other Coronation Street wedding and with thanks to Corriepedia, these are as follows:
Roy and Tracy Barlow in 2003; Ken and Deirdre Barlow in 2005; Jason Grimshaw and Sarah Platt in 2006; Liz McDonald and Vernon Tomlin in December 2007 and John Stape and Fiz Brown in 2009.
And according to Blue Merrick's IMDB profile, she also presided over the 2011 wedding of David and Kylie Platt.
See also: Where have you seen...?
Marcus' friend Aiden, Kirsty's parents, Jenny Sumner, Corrie's prison Governor, Sunita's Aunties, Ken and Deirdre's pottery teacher, Tommy Duckworth, Mrs Hargreaves who died in Audrey's salon, Sally Webster's fella Jeff, Joy Fishwick's investigator, Charlotte's Parents, Ken Barlow's grandson James, Ken Barlow's son Lawrence, Dr Matt Carter, Saucy Charlotte, Izzy's dad Owen Armstrong,The Corrie coppers, Colin Fishwick, Trevor the binman, Connie Rathbone, Uncle Umed,Julie Carp's mum, Luke Strong, Sophie Webster's boyfriend, Eileen Grimshaw's dad, Norris' girlfriend, Graeme Proctor,Molly's Aunty Pam, Maria's mum and dad, Gail's dad, Scary Brian, Tina's dad, Tony Gordon's henchman, Little Simon Barlow
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