Track on Saundra Steele, the artist's debut United Artists album, recorded November 1979 at Jack Clement Recording Studio, Nashville,with the songwriters Cook and Wood on backing vocals. 

By this time, British songwriter Roger Cook was writing and producing in Nashville, where he'd bought a house in 1977.

Saundra Steele (b. c.1949) was from Flintstone, Maryland, near Cumberland, where her family had moved from Cheshire, Ohio. As Saundra Rucker, her birth name, she became well-known as a child singer at community events in the Cumberland area. Also known as Sandy or Sondra, by the age of 11 she had completed a summer season at Atlantic City, and had appeared on The Original Amateur Hour and Wheeling, West Virginia's WWVA Jamboree.

From the early 1970s she teamed with country (later gospel) singer Dianne Sherrill for engagements in Nashville, Las Vegas, and elsewhere. In February 1974 Rucker released a single on Monument, The Prisoner's Song, produced by label founder Fred Foster and arranged by Bill Justis. That was followed in July 1974 by a Saundra Rucker & Dianne Sherrill single, also on Monument.

In the mid-70s Saundra Rucker was appearing as a solo singer at Nashville venues. After her marriage to Nashville banker and businessman Alex Rucker in 1975 her stage name became Saundra Rucker Steele. Her solo album in 1980 was released as Saundra Steele, as were singles on United Artists and British label Precision 1979-1981.

In 1981 Saundra Steele sang on First Time Out, an album by country singer Billy Troy, including a duet on the track No One Can Ever Love You YouTube.

This wasn't Roger Cook's first collaboration with Nashville-based writer and session player Bobby Wood. For example, US country star Crystal Gayle took the the Cook-Wood song Talking In Your Sleep onto the charts in 1978 (#18 Pop, #1 Country).

Roger Cook had become known for his collaborations with Roger Greenaway in the 60s: see, for example, their compositions Everything Is Out Of Season, Gimme Dat Ding and Can You Feel It Baby.

Chronology: Both Secondhand Songs and  Arnold Rypens at The Originals list the single by Dusty Springfield as the original.  Billboard, 17 November 1979, noted that Steele had been signed to UA and was planning a January 1980 debut album. (The album was registered at US Copyright Office on 21 January 1980 but that doesn't indicate a release date.)

References, further reading: 1. Song history by Arnolds Rypens at The Originals. 2. Song history at Secondhand Songs.  3. Chronology from RogerCook.com [archived]. 4. Hiroshi Asada's Cook & Greenaway Song List. 5. Bobby Wood biography by Steve Kurutz at AllMusic. 6. Saundra Steele discography and session details at PragueFrank's country music site.

Single on Mercury, released 4 January 1980 [45cat] produced by David McKay.

The versions by Dusty Springfield and Saundra Steele were released close to each other in January 1980, but I have not found any sources that exactly narrow down the two release dates. If pressed to pick one, circumstantial evidence and informed guesswork might favour Dusty's as the original.

The Roger Cook Chronology listed Dusty Springfield before Saundra Steele [archived page from rogercook.com]. In The Complete Dusty Springfield, Paul Howes writes that Roger Cook had previously said he would "love to write a song to resurrect Dusty Springfield's career and this song provided him with his opportunity to do so".

Thanks to Giuseppe for raising this one again, and for a useful reference.