The clear common elements of the songs are a door, word, ring and candle. The only difference is a reference to a time and son. The thing tight held in keeping is in my opinion the lock less box, it is the family heirloom. The box contains some kind of stone that holds importance or power.

The son is guessed to be Kvothe, so the door only work for males of the family or more likely it needs a male of the family with the right heritage, Ruh seems the best guess. The time is a bigger question, I am thinking it it needs the right phase of the moon, due to the importance in the story. Also, there is a link between candles, the moon and Haliax.

So the door is the Lackless door hidden on their estate. I am wondering if it is similar to the 4 copper plate door. The box which holds the heirloom box, has a lock with a keyhole similar to the keyholes on the 4 plate door.

There is not a mention of a specific candle or ring with the Lackless family. The thing is Tamborlin had a set of tools which include a candle, and names have rings. There is a candle on the cover of a book of secrets, and the candle linked to Haliax, and he was given a candle by auri. The candle of Haliax has a shadow, and that is a candle without a lights. A naming ring shown control over something. The thing is most rings are worn, so it seems like it has a specific item in mind.

The word is forsworn, a sharp word, not for swearing. I think it means a name. I wonder if it might be Haliax or his gang. They best fit the idea of forsworn.

The last thing would be something like a dream or secret. I am thinking it might be a song/music. That might explain the reference to the Ruh, they are musicians.

I wonder if the original luckless was Lyra and Lanre. It would explain why the family survived, the seven had an interest in the bloodline continuing.

If the door holds the flood, who built it? If the luckless family is not descended from Haliax, then they might be taborlin family as he is the only other one known yo have a candle.

So the last names of Lyra and Lanre are never said but is never said and since both their names start with L it would probably make sense and his mother is being hinted at being nobility and meluine lacklass struck him as a familiar sight which I originally thought was Denna because for one she shivered when she saw meluine and two she is hinted at many times as being nobility but after reading this article i realised that he would have recognisied that she looked like denna but since he hadn't seen his mother in seven years that would make more sense also meluine had a sister who ran away with a band of ruh

this also gives me a new theory of why the chandrian did not kill Kvothe if he is the decendant of lanre would mean he is the decendant of haliax and therefore did not die when confronted with cinder 

Pure speculation:

i think that when Kvothe finally finds the Amyr they will refuse to help him this is because they know he is of the blood of Lanre they will then attempt to kill him but haliax will sacrifice himself to save Kvothe know enraged Kvothe will fall into darkness as haliax once did he will flee from the Amyr to the university where he will break the doors of stone to find who we know as "Jax" but not officially and force him to teach him the strongest names of them all he will then join the chandrian in their war against the Amyr and destroy them all which will then be able to release the scrael after the rage has subsided he realises what he has done and repents leaving the chandrian and moving to a small village until his faults catch up to him and kill all that he ever knew Felurian wanting her one true friend back sends bast to bring him back seeing that he was no longer the feisty manling that felurian knew he tries to awaken kvothe's mind which he continues on doing until the scrael are on the horizon and he flees to the fay where the story will end

End tyrade of craziness

this speculation is absolutely not going to happen but i wish it would but Rothfuss has expressed his want to write more stories about or in temmerant

The box that hold the famed box of lore, has a similar lock to those on the 4 copper plate door. So that suggest a common origin, even thought the family is said to have their own door but with out locks. The door in the archives might not be a typical door, but the 4 keyholes are possible to be anything else.

The door on their estate, has there been a description apart from lockless? It could have mentions of wood, stone or metal, specificly copper. Kvoth has that special foreign wood, copper and iron. The archive door has copper plates and stone, possibly similar to grey stones. The family box is simply wood, while its container has copper as well. The one linked to the moon has supposedly iron. The family box is thought to be from the oracle tree. I doubt wood was taken in the amount need for a door. Any other wood needs to be exceptionally long lasting due to magic or nature. The right type of stone, or the door would just be seen as a wall.. We know copper has been used to secure such doors, I wonder if Kvothe iron lock was inspired from here.