further  The police followed up their enqui-ries by interviewing the woman’s husband. 

Law To initiate or pursue legal proceedings against (another party), To make an appeal or entreaty, To woo; to pay addresses as a lover, transitive verb_ To follow up; to chase; to seek after; to endeavor to win; to woo, To seek justice or right from, by legal process; to institute process in law against; to bring an action against; to prosecute judicially, (Law) to petition for and take out, or to apply for and obtain, verb_ institute legal proceedings against; file a suit against, noun_ French writer whose novels described the sordid side of city life (1804-1857)

investigate scientifically, conduct an inquiry or investigation of, transitive To follow up step by step by patient inquiry or observation; to trace or track mentally; to search into; to inquire and examine into with care and accuracy; to find out by careful inquisition, intransitive To observe or inquire into in detail; examine systematically