This interesting map is held by the Bluebell railway, sourced from Alan Bell’s donation to them.
This shows the connection at Havant station and the line to Langston station. A small loco shed was built at the opening of the railway. The site of this was chosen due to the proximity of the springs in the area which meant a ready supply of water was readily available. This shed was closed and a new one opened at Hayling South which remained open until the turn of the 20th century. After which time, the locomotives were housed at Fratton Depot.