Replies 46 & 47. The information is on Find a Grave.
https://findagrave.comI put in surname Horan and place Hampshire. Then clicked on each name in the family and found information about some of them.
The page with dates and times of births of children of Timothy & Mary Ellen doesn't state place of birth.
According to information on Find a Grave, John was born in England. Have you found baptisms of all the children?
As Timothy senior was a sailor he may have met and married his wife anywhere.
Newspapers which covered port towns contained lists of arrivals and departures of ships, cargoes, captains and destination.
Have you looked for wills?