The inspectors of steamboats at Cincinnati, appointed under the new steamboat law pass ed by Congress, have made a thorough in vestigation into all the facts touching the re cent collision on the Ohio between the steam ers Falls City and Pittsburg. The testimo ny elicited established the following facts:— The night was a foggy one when the collision occurred, aud the " rules and regulations " re quiring the "ringing of the bells and blowing the whistle at intervals of two minutes when running in a fog," were not complied with. Had they been complied with, the collision would not have taken place. As it was, i laudable efforts were made by both boats particularly the Falls City, to prevent it.— The signal bell of the Falls City was tapped twice, signifying her wish to go to the lar board, and that of the Pittsburg tapped once, expressing a desire to go to the starboard, but unfortunately, the signal of one was not un derstood by the other. It was also proven that the collision would have been rendered less harmless had both boats instantly stop ped on discovering each other. This was done by the Falls City, but not so promptly by the Pittsburg. In view ot all the facts, they acquit the two engineers who were on duty at the time, and suspend for twenty days the license of John White, the pilot of the Pittsburg, and the license of Jeremiah Mason, the pilot of the Falls River for ten days, for not observing the rules and regulations. The inspectors state that the penalty in this case is made light from the fact that the rules are new, and as yet imperfectly understood ; but that in all future cases they shall exact the most rigorous penalties ot the law.