All process of every kind against any person or property within the territory, which had constituted the petitioning county before the proclamation aforesaid, during the continuance of the term of office of the clerk of the circuit court and the county clerk of the petitioning county, and after the union and annexation aforesaid, may be issued by the clerk of circuit court or the county clerk of the petitioning county, and they shall respectively, collect and account to the county board of the adjoining county for the proper fees for issuing the same, but all such process shall be signed by the proper clerk and have the proper seal of the proper court of the adjoining county attached. The sheriff of the petitioning county may serve all such process, referred to in this Section; and shall collect and account to the county board of the adjoining county for the proper fees for serving the same. The county clerk and the clerk of the circuit court of the petitioning county shall each receive the same compensation he was receiving by law at the date of the aforesaid proclamation, which compensation shall be paid by the county board of the adjoining county out of taxes collected from property in the territory that had constituted the petitioning county before the aforesaid proclamation.