Give Satisfaction

How about Jeeves and Bertie come home from errands to find a baby in a basket on their doorstep. A note cites one as the father, even though it's not true. As pair are together other is upset at this development but both agree to take child in and try to figure out where it came from. Hijinks ensue until the mother returns revelling baby's dad was a neighbour instead. Bertie gives her money to help as he becomes fond of child.
Two men and a baby meets JOOSTER if you will