I'm not certain that they are related. I'd have to check.
I know there are Croffys or Croffeys related to the Tullys, but the Ruddy connection seems likely too. You said Helena from Cloonlooaun was born there in January 1894, and the Irish census from April 1911 has he aged 17 (ding ding!)...
The Tully side of the family is not one we know much about, or how far it goes back as that Tully family from Ballinasloe have died off, and Mary Josephine (my late grandmother) was the only one who had kids, as far as I know.
It doesn't look like Morgan Tully had a family in the States. I don't know what John Tully, the youngest, did when he was deported back to Ireland - he may well have gone off somewhere else.
And the middle brother Hubert, who fought in the Spanish Civil War, died alone in Dublin in the 1940s/1950s as something of a down-and-out.