Case closed, it seems.
Thank you Davidship.
Uwe

So, have we finally got the answer?

Definitely TYRA. Forgot to look on the Danish register. She is still there, listed as "Sailing ship with auxiliary motor - Floating House - private"

142gt 43nt 27.5 x 6.1 x 2.9m
built 1891 Scheepswerf Pernis, Rotterdam [presumably the same as Rijke & Co]

First registered in Denmark at Copenhagen 10/3/1976 as ANDREAS BJØRN, renamed THYRA 3/2004 [I thought that was in 1982], and TYRA 5/2004.
Purchased from UK flag as LISBETH MUNCH
Call-sign OWYO

2/1975 Laust Nørgaard Pedersen & Palle Michael Bruus Jensen, Copenhagen
3/2004 Kjell Sven-Goran Wallin & Jette Niemand Wallin, Copenhagen
3/2004 Dorte Kongelund & Peter Johns, Copenhagen
3/2004 Danny Linde Hansen, Copenhagen
3/2004 Rasmus Vinther, Copenhagen
3/2007 Søren Bruun & Julie Bruun, Copenhagen
7/2014 Søren Bruun & Katja Bruun Paustian, Copenhagen

Change of name? Quite often a requirement by seller.

I have no way of knowing anything for sure, but I wonder why anyone would change a vessel's name from Thyra to Tyra? It would be most unusual. (Of course it could coincidentially be the name of a favourite aunt or something.) By comparison, going back to a vessel's first name is pretty customary. Anyway, what happened to the ex-names MARTHA WOLTER and EMMALIES FUNK? I have a feeling that from TRIO onwards some mix-up got into the history of her.
Uwe

I think that the only uncertainty remaining is her current name. Is it the last registered name TYRA or have the owners given her back her initial name LISBETH MUNCH? Or something else.
My recollection is that when walking past her in 2010, there was not even a relevant name on the post-box.

IHS states...
Ship Detail
Ship Name TYRA
Shiptype Houseboat
LR/IMO No. 5209510
Gross 142
Call Sign OWYO
Deadweight 162
Year of Build 1891
Flag Denmark
Status No Longer Meets IHSF Criteria

You're welcome. However, there still is a lot of uncertainty, and an IMO number may or may not be correct. Check out Lars Staal's comment to Gerolf Drebes' photo of her (LISBETH MUNCH).
Something doesn't quite fit, does it?
I am certainly not updating my data quite yet.
cheers
Uwe

Thank itsfoto and Bjørn Knudsen for answer and useful informations :)
Pier Master I must made mistake and I understood your comment incofrrect.

Kind regards,
Jan Roeske

She's berthed in Frederiksholms Canal, not Nyhavn, for the sake of being precise. And yes, houseboat is correct.
Uwe

http://maritime-connector.com/ship/tyra-5209510/
I hope this the one

Thanks Uwe, details updated.
Regards, Brian.

Her name is LISBETH MUNCH, to the best of my knowledge. Her identity and details are very elusive indeed. My bet is that even most of her neighbours would be hard put if asked about her.
(rewritten because of a typo in the name :(
cheers
Uwe

Hi Jan, The comment was made in good faith, not as criticism or irony. Kind regards, Brian.

Dear Pier Master,
Thank you very much for your "good" counsel. If I could I would have walked past. You do not know all informations ... I was going by bus and I took this photo from the bus. In my opinion criticise and comments should not be ironic but more helpful and constructive.

Yours faithfully,
Jan Roeske

The next time you walk past Jan, give them a knock and ask for the name and any details...

Thank you! :)

I had similar from 2010 on here in Mystery Ships until deleted after a year as not identified. Good luck.