The official says Jordanian border patrols fired in the air to help the three-member family get away but did not exchange fire with the Syrian army.
The woman, wounded in her leg, was taken to a nearby hospital. Her husband and child escaped unharmed.
The official said the three crossed a fence near the northern border Sunday, “fleeing hardships” in their country and “seeking asylum” in Jordan.
The official insisted on anonymity because he was not allowed to make press statements.
About 500 Syrian refugees and 100 army and police deserters fled to Jordan since the outset of the eight-month uprising.
Source: Associated Press