It’s a variant spelling of soldered. According to Wikipedia, the play is set among goldsmiths in London. The OED records the word being used at the turn of the seventeenth century (when the play was written) to refer to political and social bonds as well as metallic ones. So the title of the play would seem to be a double entendre.

It’s a variant spelling of soldered.

And is how we Yanks pronounce soldered, unlike almost everyone else.  I wrote about it here (based on a Wordorigins thread from which my link has become disconnected).

languagehat - 20 October 2010 05:58 AM

It’s a variant spelling of soldered.

And is how we Yanks pronounce soldered, unlike almost everyone else.  I wrote about it here (based on a Wordorigins thread from which my link has become disconnected).

I did not know that.

OP Tipping - 19 October 2010 08:53 PM

So what does “soddered” mean?

I believe it is a variant of “soldered”, in the figurative sense ("patched up; closely united").  A reference to the play (long thought to be lost), in which it is variously reported to have the title “The Soldered Citizen” and “The Sodered Citizen” (note: only one d) can be found here (p. 25, footnote 4):

http://www.archive.org/stream/cu31924026121552#page/n47/mode/2up/search/soldered

The first thing I thought when I saw it was “Solid citizen”.