Baylham House Rare Breeds Farm manager Kate Ockleton says "everyone is feeling the pinch".
Two baby alpacas and three goats are born at the rare breeds farm near Ipswich at the same time.
Baylham Care Centre near Ipswich is in special measures following a CQC inspection.
The farm says it is not in breach of any health and safety rules and will continue with the sessions.
The sheep overcomes the stress of the incident to give birth to twin lambs.
Suffolk Police says its rural crime team is investigating after the animal was shot in the front left leg.
More hand washing stations are now available on the site.
Government agencies are expected to visit the farm next week to start investigations.
Farm staff say she was so desperate to be a mum that she cried out for two days and stole another lamb.
