E26 and E27 caps are very close in size, as are E39 and E40 caps. So yes, an E26 cap will fit into an E27 socket, and vice versa, although E39 and E40 can sometimes be more difficult to mix and match.
By the way, if you haven't already posted a picture of this lamp in the gallery, I highly recommend you do so, as we have many members don't read the forum section much and mainly concentrate on the gallery.
Once again, thanks for sharing this wonderful lamp with us