Elves and Dwarves...together??

[thorondil]

Manwe Sulimo says:

remember, the only time that anyone other than a Sinda came to Doriath was during the attack by the Nogrod Dwarves (except the smiths that made the Nauglimir, but they lived in the Menegroth's smithies, hardly the place for Elf-maidens to be).

The Dwarves built Menegroth with the Elves...including the gates of the hall of Thingol and a stone bridge over the river Esgalduin. Do you think they kept all of the elf-maidens hidden while the Dwarves were around? Or that Melian and her maidens waited until the Dwarves were all gone or sequestered in their smithies to weave and hang their tapestries in Menegroth?