Late in July, the Smilow Cancer Hospital celebrated a milestone in its construction — a ceremony at which its final steel girders were fixed onto the 14th floor. In attendance were Yale-New Haven Hospital employees, construction workers and students from Meadowside Elementary School in Milford, there to support a classmate recently treated for brain cancer at YNNH, who signed four specifically prepared beams. The ceremony followed the announcement by United Technologies Corporation to pledge $1 million to the hospital. Smilow Cancer Hospital, which broke ground on Sept. 6, 2006, is slated for completion in 2009.