The selectmen shall appoint a time and place of hearing, and notify all persons interested by causing a copy of the petition and notice of the time and place appointed to be served in hand or by certified mail, return receipt requested to each such person, if known and residing in the state, at least 14 days before the hearing. If the identity or residence of an owner of any part or share is unknown, such copy and notice shall be posted in 2 or more public places in the town, 20 days before the hearing, and shall be published in a newspaper or newspapers distributed throughout the state. If the owner resides out of state, a copy of the petition and notice shall be served pursuant to N.H. Rev. Stat. § 510:4 at least 30 days prior to the hearing. If any person interested is under guardianship, or is a tenant for life or years, or a mortgagee in possession, the guardian, tenant or mortgagee shall be so notified, and may be ordered to contribute as owner, and shall have a lien for the sum contributed upon the part or share of the owner on account of whose part or share such sum is paid.